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Finding the Fourth Proportional to 2,100.35, 3,149.91 and 639.11

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Solution

The fourth proportional to 2,100.35, 3,149.91 and 639.11 is: 958.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.35 : 3,149.91 = 639.11 : x
  2. Step 2: Convert to fraction form
    2,100.35/3,149.91 = 639.11/x
  3. Step 3: Cross multiply
    2,100.35x = 3,149.91 × 639.11
  4. Step 4: Simplify right side
    2,100.35x = 2,013,123.23
  5. Step 5: Solve for x
    x = 2,013,123.23/2,100.35
  6. Step 6: Final answer
    x = 958.47

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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.