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Finding the Fourth Proportional to 25,600.10, 38,402.10 and 8,727.87

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Solution

The fourth proportional to 25,600.10, 38,402.10 and 8,727.87 is: 13,092.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,600.10 : 38,402.10 = 8,727.87 : x
  2. Step 2: Convert to fraction form
    25,600.10/38,402.10 = 8,727.87/x
  3. Step 3: Cross multiply
    25,600.10x = 38,402.10 × 8,727.87
  4. Step 4: Simplify right side
    25,600.10x = 335,168,536.53
  5. Step 5: Solve for x
    x = 335,168,536.53/25,600.10
  6. Step 6: Final answer
    x = 13,092.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.