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Finding the Fourth Proportional to 5,878.47, 8,821.97 and 2,181.23

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Solution

The fourth proportional to 5,878.47, 8,821.97 and 2,181.23 is: 3,273.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,878.47 : 8,821.97 = 2,181.23 : x
  2. Step 2: Convert to fraction form
    5,878.47/8,821.97 = 2,181.23/x
  3. Step 3: Cross multiply
    5,878.47x = 8,821.97 × 2,181.23
  4. Step 4: Simplify right side
    5,878.47x = 19,242,690.61
  5. Step 5: Solve for x
    x = 19,242,690.61/5,878.47
  6. Step 6: Final answer
    x = 3,273.42

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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.