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Finding the Fourth Proportional to 2,679.98, 4,020 and 732.14

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Solution

The fourth proportional to 2,679.98, 4,020 and 732.14 is: 1,098.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.98 : 4,020 = 732.14 : x
  2. Step 2: Convert to fraction form
    2,679.98/4,020 = 732.14/x
  3. Step 3: Cross multiply
    2,679.98x = 4,020 × 732.14
  4. Step 4: Simplify right side
    2,679.98x = 2,943,202.80
  5. Step 5: Solve for x
    x = 2,943,202.80/2,679.98
  6. Step 6: Final answer
    x = 1,098.22

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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.