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Finding the Fourth Proportional to 2,829.68, 4,245.26 and 881.92

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Solution

The fourth proportional to 2,829.68, 4,245.26 and 881.92 is: 1,323.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.68 : 4,245.26 = 881.92 : x
  2. Step 2: Convert to fraction form
    2,829.68/4,245.26 = 881.92/x
  3. Step 3: Cross multiply
    2,829.68x = 4,245.26 × 881.92
  4. Step 4: Simplify right side
    2,829.68x = 3,743,979.70
  5. Step 5: Solve for x
    x = 3,743,979.70/2,829.68
  6. Step 6: Final answer
    x = 1,323.11

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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.