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Finding the Fourth Proportional to 2,015.60, 3,023.82 and 717.92

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Solution

The fourth proportional to 2,015.60, 3,023.82 and 717.92 is: 1,077.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.60 : 3,023.82 = 717.92 : x
  2. Step 2: Convert to fraction form
    2,015.60/3,023.82 = 717.92/x
  3. Step 3: Cross multiply
    2,015.60x = 3,023.82 × 717.92
  4. Step 4: Simplify right side
    2,015.60x = 2,170,860.85
  5. Step 5: Solve for x
    x = 2,170,860.85/2,015.60
  6. Step 6: Final answer
    x = 1,077.03

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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.