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Finding the Fourth Proportional to 5,878.30, 8,817.27 and 1,982.38

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Solution

The fourth proportional to 5,878.30, 8,817.27 and 1,982.38 is: 2,973.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.30 : 8,817.27 = 1,982.38 : x
  2. Step 2: Convert to fraction form
    5,878.30/8,817.27 = 1,982.38/x
  3. Step 3: Cross multiply
    5,878.30x = 8,817.27 × 1,982.38
  4. Step 4: Simplify right side
    5,878.30x = 17,479,179.70
  5. Step 5: Solve for x
    x = 17,479,179.70/5,878.30
  6. Step 6: Final answer
    x = 2,973.51

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1.5x scale

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.