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Finding the Fourth Proportional to 5,613.76, 7,738.17 and 3,842.29

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Solution

The fourth proportional to 5,613.76, 7,738.17 and 3,842.29 is: 5,296.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.76 : 7,738.17 = 3,842.29 : x
  2. Step 2: Convert to fraction form
    5,613.76/7,738.17 = 3,842.29/x
  3. Step 3: Cross multiply
    5,613.76x = 7,738.17 × 3,842.29
  4. Step 4: Simplify right side
    5,613.76x = 29,732,293.21
  5. Step 5: Solve for x
    x = 29,732,293.21/5,613.76
  6. Step 6: Final answer
    x = 5,296.32

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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.