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Finding the Fourth Proportional to 3,491.62, 5,234.16 and 1,181.50

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Solution

The fourth proportional to 3,491.62, 5,234.16 and 1,181.50 is: 1,771.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.62 : 5,234.16 = 1,181.50 : x
  2. Step 2: Convert to fraction form
    3,491.62/5,234.16 = 1,181.50/x
  3. Step 3: Cross multiply
    3,491.62x = 5,234.16 × 1,181.50
  4. Step 4: Simplify right side
    3,491.62x = 6,184,160.04
  5. Step 5: Solve for x
    x = 6,184,160.04/3,491.62
  6. Step 6: Final answer
    x = 1,771.14

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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.