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Finding the Fourth Proportional to 12,791.77, 17,652.18 and 7,126.20

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Solution

The fourth proportional to 12,791.77, 17,652.18 and 7,126.20 is: 9,833.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,791.77 : 17,652.18 = 7,126.20 : x
  2. Step 2: Convert to fraction form
    12,791.77/17,652.18 = 7,126.20/x
  3. Step 3: Cross multiply
    12,791.77x = 17,652.18 × 7,126.20
  4. Step 4: Simplify right side
    12,791.77x = 125,793,001.40
  5. Step 5: Solve for x
    x = 125,793,001.40/12,791.77
  6. Step 6: Final answer
    x = 9,833.90

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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.