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Finding the Fourth Proportional to 3,753.78, 5,631.05 and 1,288.28

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Solution

The fourth proportional to 3,753.78, 5,631.05 and 1,288.28 is: 1,932.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.78 : 5,631.05 = 1,288.28 : x
  2. Step 2: Convert to fraction form
    3,753.78/5,631.05 = 1,288.28/x
  3. Step 3: Cross multiply
    3,753.78x = 5,631.05 × 1,288.28
  4. Step 4: Simplify right side
    3,753.78x = 7,254,341.36
  5. Step 5: Solve for x
    x = 7,254,341.36/3,753.78
  6. Step 6: Final answer
    x = 1,932.54

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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.