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Finding the Fourth Proportional to 25,791, 38,703.78 and 9,375

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Solution

The fourth proportional to 25,791, 38,703.78 and 9,375 is: 14,068.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,791 : 38,703.78 = 9,375 : x
  2. Step 2: Convert to fraction form
    25,791/38,703.78 = 9,375/x
  3. Step 3: Cross multiply
    25,791x = 38,703.78 × 9,375
  4. Step 4: Simplify right side
    25,791x = 362,847,937.50
  5. Step 5: Solve for x
    x = 362,847,937.50/25,791
  6. Step 6: Final answer
    x = 14,068.78

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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.