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Finding the Fourth Proportional to 10,902.50, 16,344.18 and 6,468.36

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Solution

The fourth proportional to 10,902.50, 16,344.18 and 6,468.36 is: 9,696.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.50 : 16,344.18 = 6,468.36 : x
  2. Step 2: Convert to fraction form
    10,902.50/16,344.18 = 6,468.36/x
  3. Step 3: Cross multiply
    10,902.50x = 16,344.18 × 6,468.36
  4. Step 4: Simplify right side
    10,902.50x = 105,719,978.85
  5. Step 5: Solve for x
    x = 105,719,978.85/10,902.50
  6. Step 6: Final answer
    x = 9,696.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.