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Finding the Fourth Proportional to 8,114.12, 12,173 and 2,920

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Solution

The fourth proportional to 8,114.12, 12,173 and 2,920 is: 4,380.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.12 : 12,173 = 2,920 : x
  2. Step 2: Convert to fraction form
    8,114.12/12,173 = 2,920/x
  3. Step 3: Cross multiply
    8,114.12x = 12,173 × 2,920
  4. Step 4: Simplify right side
    8,114.12x = 35,545,160
  5. Step 5: Solve for x
    x = 35,545,160/8,114.12
  6. Step 6: Final answer
    x = 4,380.65

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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.