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Finding the Fourth Proportional to 2,153.69, 3,231.07 and 614.69

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Solution

The fourth proportional to 2,153.69, 3,231.07 and 614.69 is: 922.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.69 : 3,231.07 = 614.69 : x
  2. Step 2: Convert to fraction form
    2,153.69/3,231.07 = 614.69/x
  3. Step 3: Cross multiply
    2,153.69x = 3,231.07 × 614.69
  4. Step 4: Simplify right side
    2,153.69x = 1,986,106.42
  5. Step 5: Solve for x
    x = 1,986,106.42/2,153.69
  6. Step 6: Final answer
    x = 922.19

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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.