Home / 1,982.47-2,736.11-1,142.85

Finding the Fourth Proportional to 1,982.47, 2,736.11 and 1,142.85

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Solution

The fourth proportional to 1,982.47, 2,736.11 and 1,142.85 is: 1,577.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.47 : 2,736.11 = 1,142.85 : x
  2. Step 2: Convert to fraction form
    1,982.47/2,736.11 = 1,142.85/x
  3. Step 3: Cross multiply
    1,982.47x = 2,736.11 × 1,142.85
  4. Step 4: Simplify right side
    1,982.47x = 3,126,957.60
  5. Step 5: Solve for x
    x = 3,126,957.60/1,982.47
  6. Step 6: Final answer
    x = 1,577.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.