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Finding the Fourth Proportional to 8,456.80, 12,694.80 and 4,559.20

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Solution

The fourth proportional to 8,456.80, 12,694.80 and 4,559.20 is: 6,843.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,456.80 : 12,694.80 = 4,559.20 : x
  2. Step 2: Convert to fraction form
    8,456.80/12,694.80 = 4,559.20/x
  3. Step 3: Cross multiply
    8,456.80x = 12,694.80 × 4,559.20
  4. Step 4: Simplify right side
    8,456.80x = 57,878,132.16
  5. Step 5: Solve for x
    x = 57,878,132.16/8,456.80
  6. Step 6: Final answer
    x = 6,843.98

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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.