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Finding the Fourth Proportional to 8,627.86, 12,942.34 and 2,302.62

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Solution

The fourth proportional to 8,627.86, 12,942.34 and 2,302.62 is: 3,454.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,627.86 : 12,942.34 = 2,302.62 : x
  2. Step 2: Convert to fraction form
    8,627.86/12,942.34 = 2,302.62/x
  3. Step 3: Cross multiply
    8,627.86x = 12,942.34 × 2,302.62
  4. Step 4: Simplify right side
    8,627.86x = 29,801,279.42
  5. Step 5: Solve for x
    x = 29,801,279.42/8,627.86
  6. Step 6: Final answer
    x = 3,454.08

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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.