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Finding the Fourth Proportional to 10,589.90, 15,896.32 and 7,964.89

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Solution

The fourth proportional to 10,589.90, 15,896.32 and 7,964.89 is: 11,955.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,589.90 : 15,896.32 = 7,964.89 : x
  2. Step 2: Convert to fraction form
    10,589.90/15,896.32 = 7,964.89/x
  3. Step 3: Cross multiply
    10,589.90x = 15,896.32 × 7,964.89
  4. Step 4: Simplify right side
    10,589.90x = 126,612,380.55
  5. Step 5: Solve for x
    x = 126,612,380.55/10,589.90
  6. Step 6: Final answer
    x = 11,955.96

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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.