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Finding the Fourth Proportional to 10,902.62, 15,048.51 and 6,714.38

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Solution

The fourth proportional to 10,902.62, 15,048.51 and 6,714.38 is: 9,267.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.62 : 15,048.51 = 6,714.38 : x
  2. Step 2: Convert to fraction form
    10,902.62/15,048.51 = 6,714.38/x
  3. Step 3: Cross multiply
    10,902.62x = 15,048.51 × 6,714.38
  4. Step 4: Simplify right side
    10,902.62x = 101,041,414.57
  5. Step 5: Solve for x
    x = 101,041,414.57/10,902.62
  6. Step 6: Final answer
    x = 9,267.63

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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.