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Finding the Fourth Proportional to 1,581.82, 2,372.07 and 541.61

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Solution

The fourth proportional to 1,581.82, 2,372.07 and 541.61 is: 812.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,581.82 : 2,372.07 = 541.61 : x
  2. Step 2: Convert to fraction form
    1,581.82/2,372.07 = 541.61/x
  3. Step 3: Cross multiply
    1,581.82x = 2,372.07 × 541.61
  4. Step 4: Simplify right side
    1,581.82x = 1,284,736.83
  5. Step 5: Solve for x
    x = 1,284,736.83/1,581.82
  6. Step 6: Final answer
    x = 812.19

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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.