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Finding the Fourth Proportional to 8,480.32, 12,720.82 and 3,214.78

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Solution

The fourth proportional to 8,480.32, 12,720.82 and 3,214.78 is: 4,822.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,480.32 : 12,720.82 = 3,214.78 : x
  2. Step 2: Convert to fraction form
    8,480.32/12,720.82 = 3,214.78/x
  3. Step 3: Cross multiply
    8,480.32x = 12,720.82 × 3,214.78
  4. Step 4: Simplify right side
    8,480.32x = 40,894,637.72
  5. Step 5: Solve for x
    x = 40,894,637.72/8,480.32
  6. Step 6: Final answer
    x = 4,822.30

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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.