Home / 1,581.66-2,182.23-1,022.15

Finding the Fourth Proportional to 1,581.66, 2,182.23 and 1,022.15

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Solution

The fourth proportional to 1,581.66, 2,182.23 and 1,022.15 is: 1,410.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.66 : 2,182.23 = 1,022.15 : x
  2. Step 2: Convert to fraction form
    1,581.66/2,182.23 = 1,022.15/x
  3. Step 3: Cross multiply
    1,581.66x = 2,182.23 × 1,022.15
  4. Step 4: Simplify right side
    1,581.66x = 2,230,566.39
  5. Step 5: Solve for x
    x = 2,230,566.39/1,581.66
  6. Step 6: Final answer
    x = 1,410.27

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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.