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Finding the Fourth Proportional to 5,878.30, 8,817.20 and 1,982.70

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Solution

The fourth proportional to 5,878.30, 8,817.20 and 1,982.70 is: 2,973.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.30 : 8,817.20 = 1,982.70 : x
  2. Step 2: Convert to fraction form
    5,878.30/8,817.20 = 1,982.70/x
  3. Step 3: Cross multiply
    5,878.30x = 8,817.20 × 1,982.70
  4. Step 4: Simplify right side
    5,878.30x = 17,481,862.44
  5. Step 5: Solve for x
    x = 17,481,862.44/5,878.30
  6. Step 6: Final answer
    x = 2,973.97

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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.