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Finding the Fourth Proportional to 12,199.32, 16,836.84 and 11,448.72

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Solution

The fourth proportional to 12,199.32, 16,836.84 and 11,448.72 is: 15,800.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,199.32 : 16,836.84 = 11,448.72 : x
  2. Step 2: Convert to fraction form
    12,199.32/16,836.84 = 11,448.72/x
  3. Step 3: Cross multiply
    12,199.32x = 16,836.84 × 11,448.72
  4. Step 4: Simplify right side
    12,199.32x = 192,760,266.84
  5. Step 5: Solve for x
    x = 192,760,266.84/12,199.32
  6. Step 6: Final answer
    x = 15,800.90

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