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Finding the Fourth Proportional to 25,942, 38,919.48 and 7,474

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Solution

The fourth proportional to 25,942, 38,919.48 and 7,474 is: 11,212.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,942 : 38,919.48 = 7,474 : x
  2. Step 2: Convert to fraction form
    25,942/38,919.48 = 7,474/x
  3. Step 3: Cross multiply
    25,942x = 38,919.48 × 7,474
  4. Step 4: Simplify right side
    25,942x = 290,884,193.52
  5. Step 5: Solve for x
    x = 290,884,193.52/25,942
  6. Step 6: Final answer
    x = 11,212.87

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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.