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Finding the Fourth Proportional to 25,990.88, 38,949.60 and 20,120

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Solution

The fourth proportional to 25,990.88, 38,949.60 and 20,120 is: 30,151.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,990.88 : 38,949.60 = 20,120 : x
  2. Step 2: Convert to fraction form
    25,990.88/38,949.60 = 20,120/x
  3. Step 3: Cross multiply
    25,990.88x = 38,949.60 × 20,120
  4. Step 4: Simplify right side
    25,990.88x = 783,665,952
  5. Step 5: Solve for x
    x = 783,665,952/25,990.88
  6. Step 6: Final answer
    x = 30,151.57

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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.