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Finding the Fourth Proportional to 25,418, 38,132.76 and 9,002

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Solution

The fourth proportional to 25,418, 38,132.76 and 9,002 is: 13,505.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,418 : 38,132.76 = 9,002 : x
  2. Step 2: Convert to fraction form
    25,418/38,132.76 = 9,002/x
  3. Step 3: Cross multiply
    25,418x = 38,132.76 × 9,002
  4. Step 4: Simplify right side
    25,418x = 343,271,105.52
  5. Step 5: Solve for x
    x = 343,271,105.52/25,418
  6. Step 6: Final answer
    x = 13,505.04

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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.