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Finding the Fourth Proportional to 2,120.88, 3,181.28 and 581.88

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Solution

The fourth proportional to 2,120.88, 3,181.28 and 581.88 is: 872.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,120.88 : 3,181.28 = 581.88 : x
  2. Step 2: Convert to fraction form
    2,120.88/3,181.28 = 581.88/x
  3. Step 3: Cross multiply
    2,120.88x = 3,181.28 × 581.88
  4. Step 4: Simplify right side
    2,120.88x = 1,851,123.21
  5. Step 5: Solve for x
    x = 1,851,123.21/2,120.88
  6. Step 6: Final answer
    x = 872.81

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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.