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Finding the Fourth Proportional to 3,306.68, 4,960.74 and 998

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Solution

The fourth proportional to 3,306.68, 4,960.74 and 998 is: 1,497.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,306.68 : 4,960.74 = 998 : x
  2. Step 2: Convert to fraction form
    3,306.68/4,960.74 = 998/x
  3. Step 3: Cross multiply
    3,306.68x = 4,960.74 × 998
  4. Step 4: Simplify right side
    3,306.68x = 4,950,818.52
  5. Step 5: Solve for x
    x = 4,950,818.52/3,306.68
  6. Step 6: Final answer
    x = 1,497.22

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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.