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Finding the Fourth Proportional to 25,621.92, 38,423.16 and 8,978.04

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Solution

The fourth proportional to 25,621.92, 38,423.16 and 8,978.04 is: 13,463.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,621.92 : 38,423.16 = 8,978.04 : x
  2. Step 2: Convert to fraction form
    25,621.92/38,423.16 = 8,978.04/x
  3. Step 3: Cross multiply
    25,621.92x = 38,423.16 × 8,978.04
  4. Step 4: Simplify right side
    25,621.92x = 344,964,667.41
  5. Step 5: Solve for x
    x = 344,964,667.41/25,621.92
  6. Step 6: Final answer
    x = 13,463.65

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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.