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Finding the Fourth Proportional to 5,641.26, 7,784.97 and 3,123.45

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Solution

The fourth proportional to 5,641.26, 7,784.97 and 3,123.45 is: 4,310.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.26 : 7,784.97 = 3,123.45 : x
  2. Step 2: Convert to fraction form
    5,641.26/7,784.97 = 3,123.45/x
  3. Step 3: Cross multiply
    5,641.26x = 7,784.97 × 3,123.45
  4. Step 4: Simplify right side
    5,641.26x = 24,315,964.55
  5. Step 5: Solve for x
    x = 24,315,964.55/5,641.26
  6. Step 6: Final answer
    x = 4,310.38

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Double scale
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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.