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Finding the Fourth Proportional to 7,842.89, 11,764.35 and 3,338.78

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Solution

The fourth proportional to 7,842.89, 11,764.35 and 3,338.78 is: 5,008.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,842.89 : 11,764.35 = 3,338.78 : x
  2. Step 2: Convert to fraction form
    7,842.89/11,764.35 = 3,338.78/x
  3. Step 3: Cross multiply
    7,842.89x = 11,764.35 × 3,338.78
  4. Step 4: Simplify right side
    7,842.89x = 39,278,583.96
  5. Step 5: Solve for x
    x = 39,278,583.96/7,842.89
  6. Step 6: Final answer
    x = 5,008.18

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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.