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Finding the Fourth Proportional to 10,938.49, 15,102.38 and 8,416.15

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Solution

The fourth proportional to 10,938.49, 15,102.38 and 8,416.15 is: 11,619.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,938.49 : 15,102.38 = 8,416.15 : x
  2. Step 2: Convert to fraction form
    10,938.49/15,102.38 = 8,416.15/x
  3. Step 3: Cross multiply
    10,938.49x = 15,102.38 × 8,416.15
  4. Step 4: Simplify right side
    10,938.49x = 127,103,895.44
  5. Step 5: Solve for x
    x = 127,103,895.44/10,938.49
  6. Step 6: Final answer
    x = 11,619.88

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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.