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Finding the Fourth Proportional to 1,627.12, 2,245.42 and 881.09

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Solution

The fourth proportional to 1,627.12, 2,245.42 and 881.09 is: 1,215.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.12 : 2,245.42 = 881.09 : x
  2. Step 2: Convert to fraction form
    1,627.12/2,245.42 = 881.09/x
  3. Step 3: Cross multiply
    1,627.12x = 2,245.42 × 881.09
  4. Step 4: Simplify right side
    1,627.12x = 1,978,412.70
  5. Step 5: Solve for x
    x = 1,978,412.70/1,627.12
  6. Step 6: Final answer
    x = 1,215.90

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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.