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Finding the Fourth Proportional to 2,099.89, 3,149.84 and 639.04

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Solution

The fourth proportional to 2,099.89, 3,149.84 and 639.04 is: 958.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.89 : 3,149.84 = 639.04 : x
  2. Step 2: Convert to fraction form
    2,099.89/3,149.84 = 639.04/x
  3. Step 3: Cross multiply
    2,099.89x = 3,149.84 × 639.04
  4. Step 4: Simplify right side
    2,099.89x = 2,012,869.79
  5. Step 5: Solve for x
    x = 2,012,869.79/2,099.89
  6. Step 6: Final answer
    x = 958.56

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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.