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Finding the Fourth Proportional to 8,248, 12,372.72 and 2,092

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Solution

The fourth proportional to 8,248, 12,372.72 and 2,092 is: 3,138.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,248 : 12,372.72 = 2,092 : x
  2. Step 2: Convert to fraction form
    8,248/12,372.72 = 2,092/x
  3. Step 3: Cross multiply
    8,248x = 12,372.72 × 2,092
  4. Step 4: Simplify right side
    8,248x = 25,883,730.24
  5. Step 5: Solve for x
    x = 25,883,730.24/8,248
  6. Step 6: Final answer
    x = 3,138.18

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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.