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Finding the Fourth Proportional to 2,099.76, 3,149.66 and 639.15

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Solution

The fourth proportional to 2,099.76, 3,149.66 and 639.15 is: 958.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.76 : 3,149.66 = 639.15 : x
  2. Step 2: Convert to fraction form
    2,099.76/3,149.66 = 639.15/x
  3. Step 3: Cross multiply
    2,099.76x = 3,149.66 × 639.15
  4. Step 4: Simplify right side
    2,099.76x = 2,013,105.19
  5. Step 5: Solve for x
    x = 2,013,105.19/2,099.76
  6. Step 6: Final answer
    x = 958.73

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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.