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Finding the Fourth Proportional to 15,134, 20,884.92 and 8,510

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Solution

The fourth proportional to 15,134, 20,884.92 and 8,510 is: 11,743.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,134 : 20,884.92 = 8,510 : x
  2. Step 2: Convert to fraction form
    15,134/20,884.92 = 8,510/x
  3. Step 3: Cross multiply
    15,134x = 20,884.92 × 8,510
  4. Step 4: Simplify right side
    15,134x = 177,730,669.20
  5. Step 5: Solve for x
    x = 177,730,669.20/15,134
  6. Step 6: Final answer
    x = 11,743.80

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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.