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Finding the Fourth Proportional to 5,641.38, 7,784.12 and 3,284.28

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Solution

The fourth proportional to 5,641.38, 7,784.12 and 3,284.28 is: 4,531.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.38 : 7,784.12 = 3,284.28 : x
  2. Step 2: Convert to fraction form
    5,641.38/7,784.12 = 3,284.28/x
  3. Step 3: Cross multiply
    5,641.38x = 7,784.12 × 3,284.28
  4. Step 4: Simplify right side
    5,641.38x = 25,565,229.63
  5. Step 5: Solve for x
    x = 25,565,229.63/5,641.38
  6. Step 6: Final answer
    x = 4,531.73

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Find fourth proportional to 2,820.69, 3,892.06 and 1,642.14
Half scale
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Double scale
Find fourth proportional to 5,642.38, 7,785.50 and 3,285.28
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.