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Finding the Fourth Proportional to 15,146.50, 20,902.17 and 8,522.50

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Solution

The fourth proportional to 15,146.50, 20,902.17 and 8,522.50 is: 11,761.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,146.50 : 20,902.17 = 8,522.50 : x
  2. Step 2: Convert to fraction form
    15,146.50/20,902.17 = 8,522.50/x
  3. Step 3: Cross multiply
    15,146.50x = 20,902.17 × 8,522.50
  4. Step 4: Simplify right side
    15,146.50x = 178,138,743.83
  5. Step 5: Solve for x
    x = 178,138,743.83/15,146.50
  6. Step 6: Final answer
    x = 11,761.05

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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.