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Finding the Fourth Proportional to 2,756, 3,805.20 and 1,929.12

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Solution

The fourth proportional to 2,756, 3,805.20 and 1,929.12 is: 2,663.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756 : 3,805.20 = 1,929.12 : x
  2. Step 2: Convert to fraction form
    2,756/3,805.20 = 1,929.12/x
  3. Step 3: Cross multiply
    2,756x = 3,805.20 × 1,929.12
  4. Step 4: Simplify right side
    2,756x = 7,340,687.42
  5. Step 5: Solve for x
    x = 7,340,687.42/2,756
  6. Step 6: Final answer
    x = 2,663.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.