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Finding the Fourth Proportional to 10,626.87, 15,991.02 and 8,766.30

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Solution

The fourth proportional to 10,626.87, 15,991.02 and 8,766.30 is: 13,191.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,626.87 : 15,991.02 = 8,766.30 : x
  2. Step 2: Convert to fraction form
    10,626.87/15,991.02 = 8,766.30/x
  3. Step 3: Cross multiply
    10,626.87x = 15,991.02 × 8,766.30
  4. Step 4: Simplify right side
    10,626.87x = 140,182,078.63
  5. Step 5: Solve for x
    x = 140,182,078.63/10,626.87
  6. Step 6: Final answer
    x = 13,191.29

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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.