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Finding the Fourth Proportional to 8,498.26, 12,745.16 and 3,815.65

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Solution

The fourth proportional to 8,498.26, 12,745.16 and 3,815.65 is: 5,722.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498.26 : 12,745.16 = 3,815.65 : x
  2. Step 2: Convert to fraction form
    8,498.26/12,745.16 = 3,815.65/x
  3. Step 3: Cross multiply
    8,498.26x = 12,745.16 × 3,815.65
  4. Step 4: Simplify right side
    8,498.26x = 48,631,069.75
  5. Step 5: Solve for x
    x = 48,631,069.75/8,498.26
  6. Step 6: Final answer
    x = 5,722.47

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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.