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Finding the Fourth Proportional to 11,102.50, 15,318.92 and 6,625.38

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Solution

The fourth proportional to 11,102.50, 15,318.92 and 6,625.38 is: 9,141.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.50 : 15,318.92 = 6,625.38 : x
  2. Step 2: Convert to fraction form
    11,102.50/15,318.92 = 6,625.38/x
  3. Step 3: Cross multiply
    11,102.50x = 15,318.92 × 6,625.38
  4. Step 4: Simplify right side
    11,102.50x = 101,493,666.19
  5. Step 5: Solve for x
    x = 101,493,666.19/11,102.50
  6. Step 6: Final answer
    x = 9,141.51

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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.