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Finding the Fourth Proportional to 8,565.92, 12,855.36 and 3,952.16

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Solution

The fourth proportional to 8,565.92, 12,855.36 and 3,952.16 is: 5,931.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,565.92 : 12,855.36 = 3,952.16 : x
  2. Step 2: Convert to fraction form
    8,565.92/12,855.36 = 3,952.16/x
  3. Step 3: Cross multiply
    8,565.92x = 12,855.36 × 3,952.16
  4. Step 4: Simplify right side
    8,565.92x = 50,806,439.58
  5. Step 5: Solve for x
    x = 50,806,439.58/8,565.92
  6. Step 6: Final answer
    x = 5,931.23

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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.