Home / 3,013.62-4,519.98-822.53

Finding the Fourth Proportional to 3,013.62, 4,519.98 and 822.53

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Solution

The fourth proportional to 3,013.62, 4,519.98 and 822.53 is: 1,233.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,013.62 : 4,519.98 = 822.53 : x
  2. Step 2: Convert to fraction form
    3,013.62/4,519.98 = 822.53/x
  3. Step 3: Cross multiply
    3,013.62x = 4,519.98 × 822.53
  4. Step 4: Simplify right side
    3,013.62x = 3,717,796.55
  5. Step 5: Solve for x
    x = 3,717,796.55/3,013.62
  6. Step 6: Final answer
    x = 1,233.66

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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.