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Finding the Fourth Proportional to 1,580.57, 2,181.26 and 881.81

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Solution

The fourth proportional to 1,580.57, 2,181.26 and 881.81 is: 1,216.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.57 : 2,181.26 = 881.81 : x
  2. Step 2: Convert to fraction form
    1,580.57/2,181.26 = 881.81/x
  3. Step 3: Cross multiply
    1,580.57x = 2,181.26 × 881.81
  4. Step 4: Simplify right side
    1,580.57x = 1,923,456.88
  5. Step 5: Solve for x
    x = 1,923,456.88/1,580.57
  6. Step 6: Final answer
    x = 1,216.94

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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.