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Finding the Fourth Proportional to 2,147.85, 2,972.10 and 1,832.61

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Solution

The fourth proportional to 2,147.85, 2,972.10 and 1,832.61 is: 2,535.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,147.85 : 2,972.10 = 1,832.61 : x
  2. Step 2: Convert to fraction form
    2,147.85/2,972.10 = 1,832.61/x
  3. Step 3: Cross multiply
    2,147.85x = 2,972.10 × 1,832.61
  4. Step 4: Simplify right side
    2,147.85x = 5,446,700.18
  5. Step 5: Solve for x
    x = 5,446,700.18/2,147.85
  6. Step 6: Final answer
    x = 2,535.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.