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Finding the Fourth Proportional to 2,803.82, 4,202.88 and 1,764.56

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Solution

The fourth proportional to 2,803.82, 4,202.88 and 1,764.56 is: 2,645.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.82 : 4,202.88 = 1,764.56 : x
  2. Step 2: Convert to fraction form
    2,803.82/4,202.88 = 1,764.56/x
  3. Step 3: Cross multiply
    2,803.82x = 4,202.88 × 1,764.56
  4. Step 4: Simplify right side
    2,803.82x = 7,416,212.92
  5. Step 5: Solve for x
    x = 7,416,212.92/2,803.82
  6. Step 6: Final answer
    x = 2,645.04

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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.