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Finding the Fourth Proportional to 3,454.45, 5,181.87 and 989.21

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Solution

The fourth proportional to 3,454.45, 5,181.87 and 989.21 is: 1,483.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.45 : 5,181.87 = 989.21 : x
  2. Step 2: Convert to fraction form
    3,454.45/5,181.87 = 989.21/x
  3. Step 3: Cross multiply
    3,454.45x = 5,181.87 × 989.21
  4. Step 4: Simplify right side
    3,454.45x = 5,125,974.29
  5. Step 5: Solve for x
    x = 5,125,974.29/3,454.45
  6. Step 6: Final answer
    x = 1,483.88

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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.