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Finding the Fourth Proportional to 12,791.85, 17,643.32 and 8,540.87

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Solution

The fourth proportional to 12,791.85, 17,643.32 and 8,540.87 is: 11,780.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,791.85 : 17,643.32 = 8,540.87 : x
  2. Step 2: Convert to fraction form
    12,791.85/17,643.32 = 8,540.87/x
  3. Step 3: Cross multiply
    12,791.85x = 17,643.32 × 8,540.87
  4. Step 4: Simplify right side
    12,791.85x = 150,689,301.79
  5. Step 5: Solve for x
    x = 150,689,301.79/12,791.85
  6. Step 6: Final answer
    x = 11,780.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.