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Finding the Fourth Proportional to 2,982.78, 4,473.81 and 1,522.98

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Solution

The fourth proportional to 2,982.78, 4,473.81 and 1,522.98 is: 2,284.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,982.78 : 4,473.81 = 1,522.98 : x
  2. Step 2: Convert to fraction form
    2,982.78/4,473.81 = 1,522.98/x
  3. Step 3: Cross multiply
    2,982.78x = 4,473.81 × 1,522.98
  4. Step 4: Simplify right side
    2,982.78x = 6,813,523.15
  5. Step 5: Solve for x
    x = 6,813,523.15/2,982.78
  6. Step 6: Final answer
    x = 2,284.29

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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.