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Finding the Fourth Proportional to 25,642.92, 38,469.03 and 7,873.20

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Solution

The fourth proportional to 25,642.92, 38,469.03 and 7,873.20 is: 11,811.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,642.92 : 38,469.03 = 7,873.20 : x
  2. Step 2: Convert to fraction form
    25,642.92/38,469.03 = 7,873.20/x
  3. Step 3: Cross multiply
    25,642.92x = 38,469.03 × 7,873.20
  4. Step 4: Simplify right side
    25,642.92x = 302,874,367.00
  5. Step 5: Solve for x
    x = 302,874,367.00/25,642.92
  6. Step 6: Final answer
    x = 11,811.23

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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.