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Finding the Fourth Proportional to 25,470.50, 38,221.12 and 10,878.50

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Solution

The fourth proportional to 25,470.50, 38,221.12 and 10,878.50 is: 16,324.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,470.50 : 38,221.12 = 10,878.50 : x
  2. Step 2: Convert to fraction form
    25,470.50/38,221.12 = 10,878.50/x
  3. Step 3: Cross multiply
    25,470.50x = 38,221.12 × 10,878.50
  4. Step 4: Simplify right side
    25,470.50x = 415,788,453.92
  5. Step 5: Solve for x
    x = 415,788,453.92/25,470.50
  6. Step 6: Final answer
    x = 16,324.31

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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.