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Finding the Fourth Proportional to 2,153.13, 3,229.87 and 920.55

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Solution

The fourth proportional to 2,153.13, 3,229.87 and 920.55 is: 1,380.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.13 : 3,229.87 = 920.55 : x
  2. Step 2: Convert to fraction form
    2,153.13/3,229.87 = 920.55/x
  3. Step 3: Cross multiply
    2,153.13x = 3,229.87 × 920.55
  4. Step 4: Simplify right side
    2,153.13x = 2,973,242.42
  5. Step 5: Solve for x
    x = 2,973,242.42/2,153.13
  6. Step 6: Final answer
    x = 1,380.90

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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.