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Finding the Fourth Proportional to 8,246.50, 12,371.67 and 2,774.50

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Solution

The fourth proportional to 8,246.50, 12,371.67 and 2,774.50 is: 4,162.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,246.50 : 12,371.67 = 2,774.50 : x
  2. Step 2: Convert to fraction form
    8,246.50/12,371.67 = 2,774.50/x
  3. Step 3: Cross multiply
    8,246.50x = 12,371.67 × 2,774.50
  4. Step 4: Simplify right side
    8,246.50x = 34,325,198.42
  5. Step 5: Solve for x
    x = 34,325,198.42/8,246.50
  6. Step 6: Final answer
    x = 4,162.40

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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.