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Finding the Fourth Proportional to 2,104.72, 3,157.45 and 717.73

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Solution

The fourth proportional to 2,104.72, 3,157.45 and 717.73 is: 1,076.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,104.72 : 3,157.45 = 717.73 : x
  2. Step 2: Convert to fraction form
    2,104.72/3,157.45 = 717.73/x
  3. Step 3: Cross multiply
    2,104.72x = 3,157.45 × 717.73
  4. Step 4: Simplify right side
    2,104.72x = 2,266,186.90
  5. Step 5: Solve for x
    x = 2,266,186.90/2,104.72
  6. Step 6: Final answer
    x = 1,076.72

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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.