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Finding the Fourth Proportional to 5,454.81, 8,181.17 and 1,505.09

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Solution

The fourth proportional to 5,454.81, 8,181.17 and 1,505.09 is: 2,257.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,454.81 : 8,181.17 = 1,505.09 : x
  2. Step 2: Convert to fraction form
    5,454.81/8,181.17 = 1,505.09/x
  3. Step 3: Cross multiply
    5,454.81x = 8,181.17 × 1,505.09
  4. Step 4: Simplify right side
    5,454.81x = 12,313,373.94
  5. Step 5: Solve for x
    x = 12,313,373.94/5,454.81
  6. Step 6: Final answer
    x = 2,257.34

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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.