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Finding the Fourth Proportional to 2,100.20, 3,149.84 and 639.06

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Solution

The fourth proportional to 2,100.20, 3,149.84 and 639.06 is: 958.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.20 : 3,149.84 = 639.06 : x
  2. Step 2: Convert to fraction form
    2,100.20/3,149.84 = 639.06/x
  3. Step 3: Cross multiply
    2,100.20x = 3,149.84 × 639.06
  4. Step 4: Simplify right side
    2,100.20x = 2,012,936.75
  5. Step 5: Solve for x
    x = 2,012,936.75/2,100.20
  6. Step 6: Final answer
    x = 958.45

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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.