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Finding the Fourth Proportional to 1,919.12, 2,876.96 and 748.34

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Solution

The fourth proportional to 1,919.12, 2,876.96 and 748.34 is: 1,121.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,919.12 : 2,876.96 = 748.34 : x
  2. Step 2: Convert to fraction form
    1,919.12/2,876.96 = 748.34/x
  3. Step 3: Cross multiply
    1,919.12x = 2,876.96 × 748.34
  4. Step 4: Simplify right side
    1,919.12x = 2,152,929.86
  5. Step 5: Solve for x
    x = 2,152,929.86/1,919.12
  6. Step 6: Final answer
    x = 1,121.83

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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.