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Finding the Fourth Proportional to 12,189.96, 18,291.96 and 5,169.42

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Solution

The fourth proportional to 12,189.96, 18,291.96 and 5,169.42 is: 7,757.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.96 : 18,291.96 = 5,169.42 : x
  2. Step 2: Convert to fraction form
    12,189.96/18,291.96 = 5,169.42/x
  3. Step 3: Cross multiply
    12,189.96x = 18,291.96 × 5,169.42
  4. Step 4: Simplify right side
    12,189.96x = 94,558,823.86
  5. Step 5: Solve for x
    x = 94,558,823.86/12,189.96
  6. Step 6: Final answer
    x = 7,757.11

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1.5x scale

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.