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Finding the Fourth Proportional to 12,691.27, 17,515.97 and 7,656.22

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Solution

The fourth proportional to 12,691.27, 17,515.97 and 7,656.22 is: 10,566.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,691.27 : 17,515.97 = 7,656.22 : x
  2. Step 2: Convert to fraction form
    12,691.27/17,515.97 = 7,656.22/x
  3. Step 3: Cross multiply
    12,691.27x = 17,515.97 × 7,656.22
  4. Step 4: Simplify right side
    12,691.27x = 134,106,032.25
  5. Step 5: Solve for x
    x = 134,106,032.25/12,691.27
  6. Step 6: Final answer
    x = 10,566.79

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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.