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Finding the Fourth Proportional to 3,761.68, 5,643.78 and 1,813.66

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Solution

The fourth proportional to 3,761.68, 5,643.78 and 1,813.66 is: 2,721.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.68 : 5,643.78 = 1,813.66 : x
  2. Step 2: Convert to fraction form
    3,761.68/5,643.78 = 1,813.66/x
  3. Step 3: Cross multiply
    3,761.68x = 5,643.78 × 1,813.66
  4. Step 4: Simplify right side
    3,761.68x = 10,235,898.03
  5. Step 5: Solve for x
    x = 10,235,898.03/3,761.68
  6. Step 6: Final answer
    x = 2,721.10

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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.