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Finding the Fourth Proportional to 13,169.50, 19,658.81 and 12,194.01

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Solution

The fourth proportional to 13,169.50, 19,658.81 and 12,194.01 is: 18,202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,169.50 : 19,658.81 = 12,194.01 : x
  2. Step 2: Convert to fraction form
    13,169.50/19,658.81 = 12,194.01/x
  3. Step 3: Cross multiply
    13,169.50x = 19,658.81 × 12,194.01
  4. Step 4: Simplify right side
    13,169.50x = 239,719,756.21
  5. Step 5: Solve for x
    x = 239,719,756.21/13,169.50
  6. Step 6: Final answer
    x = 18,202.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.