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Finding the Fourth Proportional to 12,584.28, 18,876.78 and 5,658.78

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Solution

The fourth proportional to 12,584.28, 18,876.78 and 5,658.78 is: 8,488.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,584.28 : 18,876.78 = 5,658.78 : x
  2. Step 2: Convert to fraction form
    12,584.28/18,876.78 = 5,658.78/x
  3. Step 3: Cross multiply
    12,584.28x = 18,876.78 × 5,658.78
  4. Step 4: Simplify right side
    12,584.28x = 106,819,545.13
  5. Step 5: Solve for x
    x = 106,819,545.13/12,584.28
  6. Step 6: Final answer
    x = 8,488.33

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1.5x scale

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.