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Finding the Fourth Proportional to 8,324.78, 12,478.98 and 3,397.88

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Solution

The fourth proportional to 8,324.78, 12,478.98 and 3,397.88 is: 5,093.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.78 : 12,478.98 = 3,397.88 : x
  2. Step 2: Convert to fraction form
    8,324.78/12,478.98 = 3,397.88/x
  3. Step 3: Cross multiply
    8,324.78x = 12,478.98 × 3,397.88
  4. Step 4: Simplify right side
    8,324.78x = 42,402,076.56
  5. Step 5: Solve for x
    x = 42,402,076.56/8,324.78
  6. Step 6: Final answer
    x = 5,093.48

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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.