Home / 1,581.22-2,181.48-917.96

Finding the Fourth Proportional to 1,581.22, 2,181.48 and 917.96

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Solution

The fourth proportional to 1,581.22, 2,181.48 and 917.96 is: 1,266.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.22 : 2,181.48 = 917.96 : x
  2. Step 2: Convert to fraction form
    1,581.22/2,181.48 = 917.96/x
  3. Step 3: Cross multiply
    1,581.22x = 2,181.48 × 917.96
  4. Step 4: Simplify right side
    1,581.22x = 2,002,511.38
  5. Step 5: Solve for x
    x = 2,002,511.38/1,581.22
  6. Step 6: Final answer
    x = 1,266.43

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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.