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Finding the Fourth Proportional to 3,881.74, 5,818.81 and 1,540.97

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Solution

The fourth proportional to 3,881.74, 5,818.81 and 1,540.97 is: 2,309.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.74 : 5,818.81 = 1,540.97 : x
  2. Step 2: Convert to fraction form
    3,881.74/5,818.81 = 1,540.97/x
  3. Step 3: Cross multiply
    3,881.74x = 5,818.81 × 1,540.97
  4. Step 4: Simplify right side
    3,881.74x = 8,966,591.38
  5. Step 5: Solve for x
    x = 8,966,591.38/3,881.74
  6. Step 6: Final answer
    x = 2,309.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.