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Finding the Fourth Proportional to 25,428.20, 38,144.82 and 9,422

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Solution

The fourth proportional to 25,428.20, 38,144.82 and 9,422 is: 14,133.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,428.20 : 38,144.82 = 9,422 : x
  2. Step 2: Convert to fraction form
    25,428.20/38,144.82 = 9,422/x
  3. Step 3: Cross multiply
    25,428.20x = 38,144.82 × 9,422
  4. Step 4: Simplify right side
    25,428.20x = 359,400,494.04
  5. Step 5: Solve for x
    x = 359,400,494.04/25,428.20
  6. Step 6: Final answer
    x = 14,133.93

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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.