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Finding the Fourth Proportional to 12,711.38, 17,541.70 and 7,743.38

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Solution

The fourth proportional to 12,711.38, 17,541.70 and 7,743.38 is: 10,685.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,711.38 : 17,541.70 = 7,743.38 : x
  2. Step 2: Convert to fraction form
    12,711.38/17,541.70 = 7,743.38/x
  3. Step 3: Cross multiply
    12,711.38x = 17,541.70 × 7,743.38
  4. Step 4: Simplify right side
    12,711.38x = 135,831,980.60
  5. Step 5: Solve for x
    x = 135,831,980.60/12,711.38
  6. Step 6: Final answer
    x = 10,685.86

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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.