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Finding the Fourth Proportional to 11,199, 16,798.50 and 2,991

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Solution

The fourth proportional to 11,199, 16,798.50 and 2,991 is: 4,486.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,199 : 16,798.50 = 2,991 : x
  2. Step 2: Convert to fraction form
    11,199/16,798.50 = 2,991/x
  3. Step 3: Cross multiply
    11,199x = 16,798.50 × 2,991
  4. Step 4: Simplify right side
    11,199x = 50,244,313.50
  5. Step 5: Solve for x
    x = 50,244,313.50/11,199
  6. Step 6: Final answer
    x = 4,486.50

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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.