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Finding the Fourth Proportional to 10,876.01, 15,039.10 and 8,634

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Solution

The fourth proportional to 10,876.01, 15,039.10 and 8,634 is: 11,938.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,876.01 : 15,039.10 = 8,634 : x
  2. Step 2: Convert to fraction form
    10,876.01/15,039.10 = 8,634/x
  3. Step 3: Cross multiply
    10,876.01x = 15,039.10 × 8,634
  4. Step 4: Simplify right side
    10,876.01x = 129,847,589.40
  5. Step 5: Solve for x
    x = 129,847,589.40/10,876.01
  6. Step 6: Final answer
    x = 11,938.90

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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.