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Finding the Fourth Proportional to 5,149.01, 7,723.10 and 1,639.14

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Solution

The fourth proportional to 5,149.01, 7,723.10 and 1,639.14 is: 2,458.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.01 : 7,723.10 = 1,639.14 : x
  2. Step 2: Convert to fraction form
    5,149.01/7,723.10 = 1,639.14/x
  3. Step 3: Cross multiply
    5,149.01x = 7,723.10 × 1,639.14
  4. Step 4: Simplify right side
    5,149.01x = 12,659,273.21
  5. Step 5: Solve for x
    x = 12,659,273.21/5,149.01
  6. Step 6: Final answer
    x = 2,458.58

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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.