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Finding the Fourth Proportional to 8,276, 12,414 and 2,432.48

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Solution

The fourth proportional to 8,276, 12,414 and 2,432.48 is: 3,648.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276 : 12,414 = 2,432.48 : x
  2. Step 2: Convert to fraction form
    8,276/12,414 = 2,432.48/x
  3. Step 3: Cross multiply
    8,276x = 12,414 × 2,432.48
  4. Step 4: Simplify right side
    8,276x = 30,196,806.72
  5. Step 5: Solve for x
    x = 30,196,806.72/8,276
  6. Step 6: Final answer
    x = 3,648.72

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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.