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Finding the Fourth Proportional to 2,153.73, 3,229.62 and 614.37

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Solution

The fourth proportional to 2,153.73, 3,229.62 and 614.37 is: 921.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.73 : 3,229.62 = 614.37 : x
  2. Step 2: Convert to fraction form
    2,153.73/3,229.62 = 614.37/x
  3. Step 3: Cross multiply
    2,153.73x = 3,229.62 × 614.37
  4. Step 4: Simplify right side
    2,153.73x = 1,984,181.64
  5. Step 5: Solve for x
    x = 1,984,181.64/2,153.73
  6. Step 6: Final answer
    x = 921.28

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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.