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Finding the Fourth Proportional to 12,199.67, 18,190.17 and 11,978.24

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Solution

The fourth proportional to 12,199.67, 18,190.17 and 11,978.24 is: 17,860.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.67 : 18,190.17 = 11,978.24 : x
  2. Step 2: Convert to fraction form
    12,199.67/18,190.17 = 11,978.24/x
  3. Step 3: Cross multiply
    12,199.67x = 18,190.17 × 11,978.24
  4. Step 4: Simplify right side
    12,199.67x = 217,886,221.90
  5. Step 5: Solve for x
    x = 217,886,221.90/12,199.67
  6. Step 6: Final answer
    x = 17,860.01

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1.5x scale

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.