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Finding the Fourth Proportional to 3,207.76, 4,812.32 and 1,821.76

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Solution

The fourth proportional to 3,207.76, 4,812.32 and 1,821.76 is: 2,733.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.76 : 4,812.32 = 1,821.76 : x
  2. Step 2: Convert to fraction form
    3,207.76/4,812.32 = 1,821.76/x
  3. Step 3: Cross multiply
    3,207.76x = 4,812.32 × 1,821.76
  4. Step 4: Simplify right side
    3,207.76x = 8,766,892.08
  5. Step 5: Solve for x
    x = 8,766,892.08/3,207.76
  6. Step 6: Final answer
    x = 2,733.03

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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.