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Finding the Fourth Proportional to 8,545.46, 12,822.16 and 3,278.72

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Solution

The fourth proportional to 8,545.46, 12,822.16 and 3,278.72 is: 4,919.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,545.46 : 12,822.16 = 3,278.72 : x
  2. Step 2: Convert to fraction form
    8,545.46/12,822.16 = 3,278.72/x
  3. Step 3: Cross multiply
    8,545.46x = 12,822.16 × 3,278.72
  4. Step 4: Simplify right side
    8,545.46x = 42,040,272.44
  5. Step 5: Solve for x
    x = 42,040,272.44/8,545.46
  6. Step 6: Final answer
    x = 4,919.60

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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.