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Finding the Fourth Proportional to 12,711, 17,541.18 and 7,743

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Solution

The fourth proportional to 12,711, 17,541.18 and 7,743 is: 10,685.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711 : 17,541.18 = 7,743 : x
  2. Step 2: Convert to fraction form
    12,711/17,541.18 = 7,743/x
  3. Step 3: Cross multiply
    12,711x = 17,541.18 × 7,743
  4. Step 4: Simplify right side
    12,711x = 135,821,356.74
  5. Step 5: Solve for x
    x = 135,821,356.74/12,711
  6. Step 6: Final answer
    x = 10,685.34

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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.