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Finding the Fourth Proportional to 2,104.94, 3,157.55 and 717.89

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Solution

The fourth proportional to 2,104.94, 3,157.55 and 717.89 is: 1,076.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.94 : 3,157.55 = 717.89 : x
  2. Step 2: Convert to fraction form
    2,104.94/3,157.55 = 717.89/x
  3. Step 3: Cross multiply
    2,104.94x = 3,157.55 × 717.89
  4. Step 4: Simplify right side
    2,104.94x = 2,266,773.57
  5. Step 5: Solve for x
    x = 2,266,773.57/2,104.94
  6. Step 6: Final answer
    x = 1,076.88

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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.