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Finding the Fourth Proportional to 4,609.74, 6,909.14 and 2,657.91

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Solution

The fourth proportional to 4,609.74, 6,909.14 and 2,657.91 is: 3,983.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.74 : 6,909.14 = 2,657.91 : x
  2. Step 2: Convert to fraction form
    4,609.74/6,909.14 = 2,657.91/x
  3. Step 3: Cross multiply
    4,609.74x = 6,909.14 × 2,657.91
  4. Step 4: Simplify right side
    4,609.74x = 18,363,872.30
  5. Step 5: Solve for x
    x = 18,363,872.30/4,609.74
  6. Step 6: Final answer
    x = 3,983.71

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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.