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Finding the Fourth Proportional to 5,641.92, 7,785.12 and 3,283.68

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Solution

The fourth proportional to 5,641.92, 7,785.12 and 3,283.68 is: 4,531.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.92 : 7,785.12 = 3,283.68 : x
  2. Step 2: Convert to fraction form
    5,641.92/7,785.12 = 3,283.68/x
  3. Step 3: Cross multiply
    5,641.92x = 7,785.12 × 3,283.68
  4. Step 4: Simplify right side
    5,641.92x = 25,563,842.84
  5. Step 5: Solve for x
    x = 25,563,842.84/5,641.92
  6. Step 6: Final answer
    x = 4,531.05

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Half scale
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Double scale
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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.