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Finding the Fourth Proportional to 8,046.72, 12,079.80 and 4,780.80

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Solution

The fourth proportional to 8,046.72, 12,079.80 and 4,780.80 is: 7,176.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046.72 : 12,079.80 = 4,780.80 : x
  2. Step 2: Convert to fraction form
    8,046.72/12,079.80 = 4,780.80/x
  3. Step 3: Cross multiply
    8,046.72x = 12,079.80 × 4,780.80
  4. Step 4: Simplify right side
    8,046.72x = 57,751,107.84
  5. Step 5: Solve for x
    x = 57,751,107.84/8,046.72
  6. Step 6: Final answer
    x = 7,176.97

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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.