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Finding the Fourth Proportional to 3,761.78, 5,188.04 and 2,269.38

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Solution

The fourth proportional to 3,761.78, 5,188.04 and 2,269.38 is: 3,129.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.78 : 5,188.04 = 2,269.38 : x
  2. Step 2: Convert to fraction form
    3,761.78/5,188.04 = 2,269.38/x
  3. Step 3: Cross multiply
    3,761.78x = 5,188.04 × 2,269.38
  4. Step 4: Simplify right side
    3,761.78x = 11,773,634.22
  5. Step 5: Solve for x
    x = 11,773,634.22/3,761.78
  6. Step 6: Final answer
    x = 3,129.80

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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.