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Finding the Fourth Proportional to 8,184.34, 12,278.67 and 2,638

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Solution

The fourth proportional to 8,184.34, 12,278.67 and 2,638 is: 3,957.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.34 : 12,278.67 = 2,638 : x
  2. Step 2: Convert to fraction form
    8,184.34/12,278.67 = 2,638/x
  3. Step 3: Cross multiply
    8,184.34x = 12,278.67 × 2,638
  4. Step 4: Simplify right side
    8,184.34x = 32,391,131.46
  5. Step 5: Solve for x
    x = 32,391,131.46/8,184.34
  6. Step 6: Final answer
    x = 3,957.70

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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.