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Finding the Fourth Proportional to 8,565.20, 12,847.80 and 3,948.20

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Solution

The fourth proportional to 8,565.20, 12,847.80 and 3,948.20 is: 5,922.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.20 : 12,847.80 = 3,948.20 : x
  2. Step 2: Convert to fraction form
    8,565.20/12,847.80 = 3,948.20/x
  3. Step 3: Cross multiply
    8,565.20x = 12,847.80 × 3,948.20
  4. Step 4: Simplify right side
    8,565.20x = 50,725,683.96
  5. Step 5: Solve for x
    x = 50,725,683.96/8,565.20
  6. Step 6: Final answer
    x = 5,922.30

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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.