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Finding the Fourth Proportional to 2,151.68, 3,227.52 and 998.40

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Solution

The fourth proportional to 2,151.68, 3,227.52 and 998.40 is: 1,497.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,151.68 : 3,227.52 = 998.40 : x
  2. Step 2: Convert to fraction form
    2,151.68/3,227.52 = 998.40/x
  3. Step 3: Cross multiply
    2,151.68x = 3,227.52 × 998.40
  4. Step 4: Simplify right side
    2,151.68x = 3,222,355.97
  5. Step 5: Solve for x
    x = 3,222,355.97/2,151.68
  6. Step 6: Final answer
    x = 1,497.60

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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.