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Finding the Fourth Proportional to 8,366, 12,549 and 2,894

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Solution

The fourth proportional to 8,366, 12,549 and 2,894 is: 4,341

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,366 : 12,549 = 2,894 : x
  2. Step 2: Convert to fraction form
    8,366/12,549 = 2,894/x
  3. Step 3: Cross multiply
    8,366x = 12,549 × 2,894
  4. Step 4: Simplify right side
    8,366x = 36,316,806
  5. Step 5: Solve for x
    x = 36,316,806/8,366
  6. Step 6: Final answer
    x = 4,341

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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.