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Finding the Fourth Proportional to 8,246, 12,370.92 and 2,774

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Solution

The fourth proportional to 8,246, 12,370.92 and 2,774 is: 4,161.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,246 : 12,370.92 = 2,774 : x
  2. Step 2: Convert to fraction form
    8,246/12,370.92 = 2,774/x
  3. Step 3: Cross multiply
    8,246x = 12,370.92 × 2,774
  4. Step 4: Simplify right side
    8,246x = 34,316,932.08
  5. Step 5: Solve for x
    x = 34,316,932.08/8,246
  6. Step 6: Final answer
    x = 4,161.65

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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.