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Finding the Fourth Proportional to 8,542.45, 12,813.68 and 6,209.65

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Solution

The fourth proportional to 8,542.45, 12,813.68 and 6,209.65 is: 9,314.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.45 : 12,813.68 = 6,209.65 : x
  2. Step 2: Convert to fraction form
    8,542.45/12,813.68 = 6,209.65/x
  3. Step 3: Cross multiply
    8,542.45x = 12,813.68 × 6,209.65
  4. Step 4: Simplify right side
    8,542.45x = 79,568,436.96
  5. Step 5: Solve for x
    x = 79,568,436.96/8,542.45
  6. Step 6: Final answer
    x = 9,314.48

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Similar ratio
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1.5x scale

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.