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Finding the Fourth Proportional to 8,146, 12,219.12 and 2,674

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Solution

The fourth proportional to 8,146, 12,219.12 and 2,674 is: 4,011.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,146 : 12,219.12 = 2,674 : x
  2. Step 2: Convert to fraction form
    8,146/12,219.12 = 2,674/x
  3. Step 3: Cross multiply
    8,146x = 12,219.12 × 2,674
  4. Step 4: Simplify right side
    8,146x = 32,673,926.88
  5. Step 5: Solve for x
    x = 32,673,926.88/8,146
  6. Step 6: Final answer
    x = 4,011.04

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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.