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Finding the Fourth Proportional to 12,407.92, 17,126.28 and 7,689.64

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Solution

The fourth proportional to 12,407.92, 17,126.28 and 7,689.64 is: 10,613.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.92 : 17,126.28 = 7,689.64 : x
  2. Step 2: Convert to fraction form
    12,407.92/17,126.28 = 7,689.64/x
  3. Step 3: Cross multiply
    12,407.92x = 17,126.28 × 7,689.64
  4. Step 4: Simplify right side
    12,407.92x = 131,694,927.74
  5. Step 5: Solve for x
    x = 131,694,927.74/12,407.92
  6. Step 6: Final answer
    x = 10,613.78

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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.