Home / 1,372.13-2,053.40-982.57

Finding the Fourth Proportional to 1,372.13, 2,053.40 and 982.57

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Solution

The fourth proportional to 1,372.13, 2,053.40 and 982.57 is: 1,470.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.13 : 2,053.40 = 982.57 : x
  2. Step 2: Convert to fraction form
    1,372.13/2,053.40 = 982.57/x
  3. Step 3: Cross multiply
    1,372.13x = 2,053.40 × 982.57
  4. Step 4: Simplify right side
    1,372.13x = 2,017,609.24
  5. Step 5: Solve for x
    x = 2,017,609.24/1,372.13
  6. Step 6: Final answer
    x = 1,470.42

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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.