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Finding the Fourth Proportional to 6,487.70, 9,731.14 and 2,589.30

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Solution

The fourth proportional to 6,487.70, 9,731.14 and 2,589.30 is: 3,883.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.70 : 9,731.14 = 2,589.30 : x
  2. Step 2: Convert to fraction form
    6,487.70/9,731.14 = 2,589.30/x
  3. Step 3: Cross multiply
    6,487.70x = 9,731.14 × 2,589.30
  4. Step 4: Simplify right side
    6,487.70x = 25,196,834.33
  5. Step 5: Solve for x
    x = 25,196,834.33/6,487.70
  6. Step 6: Final answer
    x = 3,883.79

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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.