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Finding the Fourth Proportional to 8,565.75, 12,853.49 and 3,948.75

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Solution

The fourth proportional to 8,565.75, 12,853.49 and 3,948.75 is: 5,925.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.75 : 12,853.49 = 3,948.75 : x
  2. Step 2: Convert to fraction form
    8,565.75/12,853.49 = 3,948.75/x
  3. Step 3: Cross multiply
    8,565.75x = 12,853.49 × 3,948.75
  4. Step 4: Simplify right side
    8,565.75x = 50,755,198.89
  5. Step 5: Solve for x
    x = 50,755,198.89/8,565.75
  6. Step 6: Final answer
    x = 5,925.37

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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.