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Finding the Fourth Proportional to 3,753.92, 5,631.12 and 1,157.12

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Solution

The fourth proportional to 3,753.92, 5,631.12 and 1,157.12 is: 1,735.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.92 : 5,631.12 = 1,157.12 : x
  2. Step 2: Convert to fraction form
    3,753.92/5,631.12 = 1,157.12/x
  3. Step 3: Cross multiply
    3,753.92x = 5,631.12 × 1,157.12
  4. Step 4: Simplify right side
    3,753.92x = 6,515,881.57
  5. Step 5: Solve for x
    x = 6,515,881.57/3,753.92
  6. Step 6: Final answer
    x = 1,735.75

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1.5x scale

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.