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Finding the Fourth Proportional to 3,760, 5,642.56 and 2,260.24

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Solution

The fourth proportional to 3,760, 5,642.56 and 2,260.24 is: 3,391.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760 : 5,642.56 = 2,260.24 : x
  2. Step 2: Convert to fraction form
    3,760/5,642.56 = 2,260.24/x
  3. Step 3: Cross multiply
    3,760x = 5,642.56 × 2,260.24
  4. Step 4: Simplify right side
    3,760x = 12,753,539.81
  5. Step 5: Solve for x
    x = 12,753,539.81/3,760
  6. Step 6: Final answer
    x = 3,391.90

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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.