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Finding the Fourth Proportional to 25,424, 38,147.52 and 12,273.92

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Solution

The fourth proportional to 25,424, 38,147.52 and 12,273.92 is: 18,416.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,424 : 38,147.52 = 12,273.92 : x
  2. Step 2: Convert to fraction form
    25,424/38,147.52 = 12,273.92/x
  3. Step 3: Cross multiply
    25,424x = 38,147.52 × 12,273.92
  4. Step 4: Simplify right side
    25,424x = 468,219,608.68
  5. Step 5: Solve for x
    x = 468,219,608.68/25,424
  6. Step 6: Final answer
    x = 18,416.44

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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.