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Finding the Fourth Proportional to 3,241.10, 4,861.99 and 901.11

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Solution

The fourth proportional to 3,241.10, 4,861.99 and 901.11 is: 1,351.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,241.10 : 4,861.99 = 901.11 : x
  2. Step 2: Convert to fraction form
    3,241.10/4,861.99 = 901.11/x
  3. Step 3: Cross multiply
    3,241.10x = 4,861.99 × 901.11
  4. Step 4: Simplify right side
    3,241.10x = 4,381,187.81
  5. Step 5: Solve for x
    x = 4,381,187.81/3,241.10
  6. Step 6: Final answer
    x = 1,351.76

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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.