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Finding the Fourth Proportional to 7,658.43, 11,489.00 and 3,959.66

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Solution

The fourth proportional to 7,658.43, 11,489.00 and 3,959.66 is: 5,940.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,658.43 : 11,489.00 = 3,959.66 : x
  2. Step 2: Convert to fraction form
    7,658.43/11,489.00 = 3,959.66/x
  3. Step 3: Cross multiply
    7,658.43x = 11,489.00 × 3,959.66
  4. Step 4: Simplify right side
    7,658.43x = 45,492,456.50
  5. Step 5: Solve for x
    x = 45,492,456.50/7,658.43
  6. Step 6: Final answer
    x = 5,940.18

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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.