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Finding the Fourth Proportional to 2,655.71, 3,663.86 and 1,711.43

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Solution

The fourth proportional to 2,655.71, 3,663.86 and 1,711.43 is: 2,361.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,655.71 : 3,663.86 = 1,711.43 : x
  2. Step 2: Convert to fraction form
    2,655.71/3,663.86 = 1,711.43/x
  3. Step 3: Cross multiply
    2,655.71x = 3,663.86 × 1,711.43
  4. Step 4: Simplify right side
    2,655.71x = 6,270,439.92
  5. Step 5: Solve for x
    x = 6,270,439.92/2,655.71
  6. Step 6: Final answer
    x = 2,361.12

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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.