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Finding the Fourth Proportional to 3,013.76, 4,520.12 and 821.96

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Solution

The fourth proportional to 3,013.76, 4,520.12 and 821.96 is: 1,232.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,013.76 : 4,520.12 = 821.96 : x
  2. Step 2: Convert to fraction form
    3,013.76/4,520.12 = 821.96/x
  3. Step 3: Cross multiply
    3,013.76x = 4,520.12 × 821.96
  4. Step 4: Simplify right side
    3,013.76x = 3,715,365.03
  5. Step 5: Solve for x
    x = 3,715,365.03/3,013.76
  6. Step 6: Final answer
    x = 1,232.80

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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.