Home / 1,461.43-2,192.19-998.11

Finding the Fourth Proportional to 1,461.43, 2,192.19 and 998.11

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Solution

The fourth proportional to 1,461.43, 2,192.19 and 998.11 is: 1,497.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.43 : 2,192.19 = 998.11 : x
  2. Step 2: Convert to fraction form
    1,461.43/2,192.19 = 998.11/x
  3. Step 3: Cross multiply
    1,461.43x = 2,192.19 × 998.11
  4. Step 4: Simplify right side
    1,461.43x = 2,188,046.76
  5. Step 5: Solve for x
    x = 2,188,046.76/1,461.43
  6. Step 6: Final answer
    x = 1,497.20

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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.