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Finding the Fourth Proportional to 3,296.61, 4,549.38 and 2,249.01

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Solution

The fourth proportional to 3,296.61, 4,549.38 and 2,249.01 is: 3,103.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.61 : 4,549.38 = 2,249.01 : x
  2. Step 2: Convert to fraction form
    3,296.61/4,549.38 = 2,249.01/x
  3. Step 3: Cross multiply
    3,296.61x = 4,549.38 × 2,249.01
  4. Step 4: Simplify right side
    3,296.61x = 10,231,601.11
  5. Step 5: Solve for x
    x = 10,231,601.11/3,296.61
  6. Step 6: Final answer
    x = 3,103.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.