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Finding the Fourth Proportional to 2,099.80, 3,149.49 and 638.97

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Solution

The fourth proportional to 2,099.80, 3,149.49 and 638.97 is: 958.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.80 : 3,149.49 = 638.97 : x
  2. Step 2: Convert to fraction form
    2,099.80/3,149.49 = 638.97/x
  3. Step 3: Cross multiply
    2,099.80x = 3,149.49 × 638.97
  4. Step 4: Simplify right side
    2,099.80x = 2,012,429.63
  5. Step 5: Solve for x
    x = 2,012,429.63/2,099.80
  6. Step 6: Final answer
    x = 958.39

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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.