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Finding the Fourth Proportional to 7,895.25, 11,842.92 and 3,278.25

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Solution

The fourth proportional to 7,895.25, 11,842.92 and 3,278.25 is: 4,917.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,895.25 : 11,842.92 = 3,278.25 : x
  2. Step 2: Convert to fraction form
    7,895.25/11,842.92 = 3,278.25/x
  3. Step 3: Cross multiply
    7,895.25x = 11,842.92 × 3,278.25
  4. Step 4: Simplify right side
    7,895.25x = 38,824,052.49
  5. Step 5: Solve for x
    x = 38,824,052.49/7,895.25
  6. Step 6: Final answer
    x = 4,917.39

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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.