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Finding the Fourth Proportional to 7,945.92, 11,919 and 2,751.90

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Solution

The fourth proportional to 7,945.92, 11,919 and 2,751.90 is: 4,127.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,945.92 : 11,919 = 2,751.90 : x
  2. Step 2: Convert to fraction form
    7,945.92/11,919 = 2,751.90/x
  3. Step 3: Cross multiply
    7,945.92x = 11,919 × 2,751.90
  4. Step 4: Simplify right side
    7,945.92x = 32,799,896.10
  5. Step 5: Solve for x
    x = 32,799,896.10/7,945.92
  6. Step 6: Final answer
    x = 4,127.89

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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.