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Finding the Fourth Proportional to 25,821.92, 38,720.09 and 9,179.46

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Solution

The fourth proportional to 25,821.92, 38,720.09 and 9,179.46 is: 13,764.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,821.92 : 38,720.09 = 9,179.46 : x
  2. Step 2: Convert to fraction form
    25,821.92/38,720.09 = 9,179.46/x
  3. Step 3: Cross multiply
    25,821.92x = 38,720.09 × 9,179.46
  4. Step 4: Simplify right side
    25,821.92x = 355,429,540.30
  5. Step 5: Solve for x
    x = 355,429,540.30/25,821.92
  6. Step 6: Final answer
    x = 13,764.64

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1.5x scale

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.