Home / 2,982-4,473.09-1,108.36

Finding the Fourth Proportional to 2,982, 4,473.09 and 1,108.36

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Solution

The fourth proportional to 2,982, 4,473.09 and 1,108.36 is: 1,662.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982 : 4,473.09 = 1,108.36 : x
  2. Step 2: Convert to fraction form
    2,982/4,473.09 = 1,108.36/x
  3. Step 3: Cross multiply
    2,982x = 4,473.09 × 1,108.36
  4. Step 4: Simplify right side
    2,982x = 4,957,794.03
  5. Step 5: Solve for x
    x = 4,957,794.03/2,982
  6. Step 6: Final answer
    x = 1,662.57

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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.