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Finding the Fourth Proportional to 3,013.74, 4,520.49 and 822.39

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Solution

The fourth proportional to 3,013.74, 4,520.49 and 822.39 is: 1,233.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,013.74 : 4,520.49 = 822.39 : x
  2. Step 2: Convert to fraction form
    3,013.74/4,520.49 = 822.39/x
  3. Step 3: Cross multiply
    3,013.74x = 4,520.49 × 822.39
  4. Step 4: Simplify right side
    3,013.74x = 3,717,605.77
  5. Step 5: Solve for x
    x = 3,717,605.77/3,013.74
  6. Step 6: Final answer
    x = 1,233.55

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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.