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Finding the Fourth Proportional to 1,759.89, 2,638.92 and 881.44

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Solution

The fourth proportional to 1,759.89, 2,638.92 and 881.44 is: 1,321.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.89 : 2,638.92 = 881.44 : x
  2. Step 2: Convert to fraction form
    1,759.89/2,638.92 = 881.44/x
  3. Step 3: Cross multiply
    1,759.89x = 2,638.92 × 881.44
  4. Step 4: Simplify right side
    1,759.89x = 2,326,049.64
  5. Step 5: Solve for x
    x = 2,326,049.64/1,759.89
  6. Step 6: Final answer
    x = 1,321.70

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1.5x scale

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.