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Finding the Fourth Proportional to 2,100.32, 3,149.84 and 732

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Solution

The fourth proportional to 2,100.32, 3,149.84 and 732 is: 1,097.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.32 : 3,149.84 = 732 : x
  2. Step 2: Convert to fraction form
    2,100.32/3,149.84 = 732/x
  3. Step 3: Cross multiply
    2,100.32x = 3,149.84 × 732
  4. Step 4: Simplify right side
    2,100.32x = 2,305,682.88
  5. Step 5: Solve for x
    x = 2,305,682.88/2,100.32
  6. Step 6: Final answer
    x = 1,097.78

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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.