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Finding the Fourth Proportional to 2,151.42, 3,227.13 and 612.42

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Solution

The fourth proportional to 2,151.42, 3,227.13 and 612.42 is: 918.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.42 : 3,227.13 = 612.42 : x
  2. Step 2: Convert to fraction form
    2,151.42/3,227.13 = 612.42/x
  3. Step 3: Cross multiply
    2,151.42x = 3,227.13 × 612.42
  4. Step 4: Simplify right side
    2,151.42x = 1,976,358.95
  5. Step 5: Solve for x
    x = 1,976,358.95/2,151.42
  6. Step 6: Final answer
    x = 918.63

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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.