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Finding the Fourth Proportional to 25,921.44, 38,873.76 and 8,387.52

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Solution

The fourth proportional to 25,921.44, 38,873.76 and 8,387.52 is: 12,578.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,921.44 : 38,873.76 = 8,387.52 : x
  2. Step 2: Convert to fraction form
    25,921.44/38,873.76 = 8,387.52/x
  3. Step 3: Cross multiply
    25,921.44x = 38,873.76 × 8,387.52
  4. Step 4: Simplify right side
    25,921.44x = 326,054,439.48
  5. Step 5: Solve for x
    x = 326,054,439.48/25,921.44
  6. Step 6: Final answer
    x = 12,578.56

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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.