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Finding the Fourth Proportional to 3,761.70, 5,643.45 and 1,569.30

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Solution

The fourth proportional to 3,761.70, 5,643.45 and 1,569.30 is: 2,354.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.70 : 5,643.45 = 1,569.30 : x
  2. Step 2: Convert to fraction form
    3,761.70/5,643.45 = 1,569.30/x
  3. Step 3: Cross multiply
    3,761.70x = 5,643.45 × 1,569.30
  4. Step 4: Simplify right side
    3,761.70x = 8,856,266.09
  5. Step 5: Solve for x
    x = 8,856,266.09/3,761.70
  6. Step 6: Final answer
    x = 2,354.33

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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.