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Finding the Fourth Proportional to 9,131.99, 13,698 and 2,206.49

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Solution

The fourth proportional to 9,131.99, 13,698 and 2,206.49 is: 3,309.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.99 : 13,698 = 2,206.49 : x
  2. Step 2: Convert to fraction form
    9,131.99/13,698 = 2,206.49/x
  3. Step 3: Cross multiply
    9,131.99x = 13,698 × 2,206.49
  4. Step 4: Simplify right side
    9,131.99x = 30,224,431.53
  5. Step 5: Solve for x
    x = 30,224,431.53/9,131.99
  6. Step 6: Final answer
    x = 3,309.73

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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.