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Finding the Fourth Proportional to 2,153.50, 3,230.28 and 614.50

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Solution

The fourth proportional to 2,153.50, 3,230.28 and 614.50 is: 921.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.50 : 3,230.28 = 614.50 : x
  2. Step 2: Convert to fraction form
    2,153.50/3,230.28 = 614.50/x
  3. Step 3: Cross multiply
    2,153.50x = 3,230.28 × 614.50
  4. Step 4: Simplify right side
    2,153.50x = 1,985,007.06
  5. Step 5: Solve for x
    x = 1,985,007.06/2,153.50
  6. Step 6: Final answer
    x = 921.76

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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.