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Finding the Fourth Proportional to 25,791.78, 38,686.07 and 9,149.63

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Solution

The fourth proportional to 25,791.78, 38,686.07 and 9,149.63 is: 13,723.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,791.78 : 38,686.07 = 9,149.63 : x
  2. Step 2: Convert to fraction form
    25,791.78/38,686.07 = 9,149.63/x
  3. Step 3: Cross multiply
    25,791.78x = 38,686.07 × 9,149.63
  4. Step 4: Simplify right side
    25,791.78x = 353,963,056.10
  5. Step 5: Solve for x
    x = 353,963,056.10/25,791.78
  6. Step 6: Final answer
    x = 13,723.87

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1.5x scale

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.