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Finding the Fourth Proportional to 7,963.80, 11,947.59 and 2,416.79

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Solution

The fourth proportional to 7,963.80, 11,947.59 and 2,416.79 is: 3,625.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963.80 : 11,947.59 = 2,416.79 : x
  2. Step 2: Convert to fraction form
    7,963.80/11,947.59 = 2,416.79/x
  3. Step 3: Cross multiply
    7,963.80x = 11,947.59 × 2,416.79
  4. Step 4: Simplify right side
    7,963.80x = 28,874,756.30
  5. Step 5: Solve for x
    x = 28,874,756.30/7,963.80
  6. Step 6: Final answer
    x = 3,625.75

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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.