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Finding the Fourth Proportional to 11,149.97, 15,388.52 and 6,902.39

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Solution

The fourth proportional to 11,149.97, 15,388.52 and 6,902.39 is: 9,526.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,149.97 : 15,388.52 = 6,902.39 : x
  2. Step 2: Convert to fraction form
    11,149.97/15,388.52 = 6,902.39/x
  3. Step 3: Cross multiply
    11,149.97x = 15,388.52 × 6,902.39
  4. Step 4: Simplify right side
    11,149.97x = 106,217,566.56
  5. Step 5: Solve for x
    x = 106,217,566.56/11,149.97
  6. Step 6: Final answer
    x = 9,526.26

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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.