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Finding the Fourth Proportional to 3,690.92, 5,538.66 and 2,134

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Solution

The fourth proportional to 3,690.92, 5,538.66 and 2,134 is: 3,202.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.92 : 5,538.66 = 2,134 : x
  2. Step 2: Convert to fraction form
    3,690.92/5,538.66 = 2,134/x
  3. Step 3: Cross multiply
    3,690.92x = 5,538.66 × 2,134
  4. Step 4: Simplify right side
    3,690.92x = 11,819,500.44
  5. Step 5: Solve for x
    x = 11,819,500.44/3,690.92
  6. Step 6: Final answer
    x = 3,202.32

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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.