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Finding the Fourth Proportional to 12,711.75, 17,542.22 and 7,743.75

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Solution

The fourth proportional to 12,711.75, 17,542.22 and 7,743.75 is: 10,686.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711.75 : 17,542.22 = 7,743.75 : x
  2. Step 2: Convert to fraction form
    12,711.75/17,542.22 = 7,743.75/x
  3. Step 3: Cross multiply
    12,711.75x = 17,542.22 × 7,743.75
  4. Step 4: Simplify right side
    12,711.75x = 135,842,527.41
  5. Step 5: Solve for x
    x = 135,842,527.41/12,711.75
  6. Step 6: Final answer
    x = 10,686.38

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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.