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Finding the Fourth Proportional to 2,099.61, 3,149.42 and 638.78

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Solution

The fourth proportional to 2,099.61, 3,149.42 and 638.78 is: 958.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.61 : 3,149.42 = 638.78 : x
  2. Step 2: Convert to fraction form
    2,099.61/3,149.42 = 638.78/x
  3. Step 3: Cross multiply
    2,099.61x = 3,149.42 × 638.78
  4. Step 4: Simplify right side
    2,099.61x = 2,011,767.57
  5. Step 5: Solve for x
    x = 2,011,767.57/2,099.61
  6. Step 6: Final answer
    x = 958.16

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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.