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Finding the Fourth Proportional to 2,153.78, 3,231.17 and 920.55

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Solution

The fourth proportional to 2,153.78, 3,231.17 and 920.55 is: 1,381.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.78 : 3,231.17 = 920.55 : x
  2. Step 2: Convert to fraction form
    2,153.78/3,231.17 = 920.55/x
  3. Step 3: Cross multiply
    2,153.78x = 3,231.17 × 920.55
  4. Step 4: Simplify right side
    2,153.78x = 2,974,453.54
  5. Step 5: Solve for x
    x = 2,974,453.54/2,153.78
  6. Step 6: Final answer
    x = 1,381.04

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1.5x scale

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.