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Finding the Fourth Proportional to 3,753.96, 5,631.01 and 1,288.72

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Solution

The fourth proportional to 3,753.96, 5,631.01 and 1,288.72 is: 1,933.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.96 : 5,631.01 = 1,288.72 : x
  2. Step 2: Convert to fraction form
    3,753.96/5,631.01 = 1,288.72/x
  3. Step 3: Cross multiply
    3,753.96x = 5,631.01 × 1,288.72
  4. Step 4: Simplify right side
    3,753.96x = 7,256,799.02
  5. Step 5: Solve for x
    x = 7,256,799.02/3,753.96
  6. Step 6: Final answer
    x = 1,933.11

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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.