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Finding the Fourth Proportional to 2,151.52, 3,227.36 and 612.52

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Solution

The fourth proportional to 2,151.52, 3,227.36 and 612.52 is: 918.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.52 : 3,227.36 = 612.52 : x
  2. Step 2: Convert to fraction form
    2,151.52/3,227.36 = 612.52/x
  3. Step 3: Cross multiply
    2,151.52x = 3,227.36 × 612.52
  4. Step 4: Simplify right side
    2,151.52x = 1,976,822.55
  5. Step 5: Solve for x
    x = 1,976,822.55/2,151.52
  6. Step 6: Final answer
    x = 918.80

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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.