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Finding the Fourth Proportional to 27,129.20, 40,689.90 and 10,497.08

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Solution

The fourth proportional to 27,129.20, 40,689.90 and 10,497.08 is: 15,744.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,129.20 : 40,689.90 = 10,497.08 : x
  2. Step 2: Convert to fraction form
    27,129.20/40,689.90 = 10,497.08/x
  3. Step 3: Cross multiply
    27,129.20x = 40,689.90 × 10,497.08
  4. Step 4: Simplify right side
    27,129.20x = 427,125,135.49
  5. Step 5: Solve for x
    x = 427,125,135.49/27,129.20
  6. Step 6: Final answer
    x = 15,744.11

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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.