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Finding the Fourth Proportional to 2,162.49, 3,243.96 and 992.29

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Solution

The fourth proportional to 2,162.49, 3,243.96 and 992.29 is: 1,488.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.49 : 3,243.96 = 992.29 : x
  2. Step 2: Convert to fraction form
    2,162.49/3,243.96 = 992.29/x
  3. Step 3: Cross multiply
    2,162.49x = 3,243.96 × 992.29
  4. Step 4: Simplify right side
    2,162.49x = 3,218,937.24
  5. Step 5: Solve for x
    x = 3,218,937.24/2,162.49
  6. Step 6: Final answer
    x = 1,488.54

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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.