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Finding the Fourth Proportional to 8,278.67, 12,418.05 and 3,084.50

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Solution

The fourth proportional to 8,278.67, 12,418.05 and 3,084.50 is: 4,626.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,278.67 : 12,418.05 = 3,084.50 : x
  2. Step 2: Convert to fraction form
    8,278.67/12,418.05 = 3,084.50/x
  3. Step 3: Cross multiply
    8,278.67x = 12,418.05 × 3,084.50
  4. Step 4: Simplify right side
    8,278.67x = 38,303,475.23
  5. Step 5: Solve for x
    x = 38,303,475.23/8,278.67
  6. Step 6: Final answer
    x = 4,626.77

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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.