Home / 1,581.74-2,382.03-1,378.83

Finding the Fourth Proportional to 1,581.74, 2,382.03 and 1,378.83

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Solution

The fourth proportional to 1,581.74, 2,382.03 and 1,378.83 is: 2,076.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.74 : 2,382.03 = 1,378.83 : x
  2. Step 2: Convert to fraction form
    1,581.74/2,382.03 = 1,378.83/x
  3. Step 3: Cross multiply
    1,581.74x = 2,382.03 × 1,378.83
  4. Step 4: Simplify right side
    1,581.74x = 3,284,414.42
  5. Step 5: Solve for x
    x = 3,284,414.42/1,581.74
  6. Step 6: Final answer
    x = 2,076.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.