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Finding the Fourth Proportional to 8,492.74, 12,740.43 and 3,229.96

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Solution

The fourth proportional to 8,492.74, 12,740.43 and 3,229.96 is: 4,845.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,492.74 : 12,740.43 = 3,229.96 : x
  2. Step 2: Convert to fraction form
    8,492.74/12,740.43 = 3,229.96/x
  3. Step 3: Cross multiply
    8,492.74x = 12,740.43 × 3,229.96
  4. Step 4: Simplify right side
    8,492.74x = 41,151,079.28
  5. Step 5: Solve for x
    x = 41,151,079.28/8,492.74
  6. Step 6: Final answer
    x = 4,845.44

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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.