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Finding the Fourth Proportional to 2,282.08, 3,423.36 and 743.36

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Solution

The fourth proportional to 2,282.08, 3,423.36 and 743.36 is: 1,115.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.08 : 3,423.36 = 743.36 : x
  2. Step 2: Convert to fraction form
    2,282.08/3,423.36 = 743.36/x
  3. Step 3: Cross multiply
    2,282.08x = 3,423.36 × 743.36
  4. Step 4: Simplify right side
    2,282.08x = 2,544,788.89
  5. Step 5: Solve for x
    x = 2,544,788.89/2,282.08
  6. Step 6: Final answer
    x = 1,115.12

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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.