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Finding the Fourth Proportional to 12,407.80, 17,122.78 and 6,742.61

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Solution

The fourth proportional to 12,407.80, 17,122.78 and 6,742.61 is: 9,304.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.80 : 17,122.78 = 6,742.61 : x
  2. Step 2: Convert to fraction form
    12,407.80/17,122.78 = 6,742.61/x
  3. Step 3: Cross multiply
    12,407.80x = 17,122.78 × 6,742.61
  4. Step 4: Simplify right side
    12,407.80x = 115,452,227.66
  5. Step 5: Solve for x
    x = 115,452,227.66/12,407.80
  6. Step 6: Final answer
    x = 9,304.81

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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.