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Finding the Fourth Proportional to 7,757.15, 11,630.05 and 2,489.15

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Solution

The fourth proportional to 7,757.15, 11,630.05 and 2,489.15 is: 3,731.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.15 : 11,630.05 = 2,489.15 : x
  2. Step 2: Convert to fraction form
    7,757.15/11,630.05 = 2,489.15/x
  3. Step 3: Cross multiply
    7,757.15x = 11,630.05 × 2,489.15
  4. Step 4: Simplify right side
    7,757.15x = 28,948,961.81
  5. Step 5: Solve for x
    x = 28,948,961.81/7,757.15
  6. Step 6: Final answer
    x = 3,731.91

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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.