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Finding the Fourth Proportional to 2,162.80, 3,244.20 and 992.80

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Solution

The fourth proportional to 2,162.80, 3,244.20 and 992.80 is: 1,489.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,162.80 : 3,244.20 = 992.80 : x
  2. Step 2: Convert to fraction form
    2,162.80/3,244.20 = 992.80/x
  3. Step 3: Cross multiply
    2,162.80x = 3,244.20 × 992.80
  4. Step 4: Simplify right side
    2,162.80x = 3,220,841.76
  5. Step 5: Solve for x
    x = 3,220,841.76/2,162.80
  6. Step 6: Final answer
    x = 1,489.20

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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.