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Finding the Fourth Proportional to 25,422, 38,125.30 and 7,647.95

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Solution

The fourth proportional to 25,422, 38,125.30 and 7,647.95 is: 11,469.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,422 : 38,125.30 = 7,647.95 : x
  2. Step 2: Convert to fraction form
    25,422/38,125.30 = 7,647.95/x
  3. Step 3: Cross multiply
    25,422x = 38,125.30 × 7,647.95
  4. Step 4: Simplify right side
    25,422x = 291,580,388.14
  5. Step 5: Solve for x
    x = 291,580,388.14/25,422
  6. Step 6: Final answer
    x = 11,469.61

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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.