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Finding the Fourth Proportional to 25,968.80, 38,962.80 and 8,439.20

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Solution

The fourth proportional to 25,968.80, 38,962.80 and 8,439.20 is: 12,661.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,968.80 : 38,962.80 = 8,439.20 : x
  2. Step 2: Convert to fraction form
    25,968.80/38,962.80 = 8,439.20/x
  3. Step 3: Cross multiply
    25,968.80x = 38,962.80 × 8,439.20
  4. Step 4: Simplify right side
    25,968.80x = 328,814,861.76
  5. Step 5: Solve for x
    x = 328,814,861.76/25,968.80
  6. Step 6: Final answer
    x = 12,661.92

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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.