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Finding the Fourth Proportional to 11,199.20, 16,798.80 and 3,408

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Solution

The fourth proportional to 11,199.20, 16,798.80 and 3,408 is: 5,112.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,199.20 : 16,798.80 = 3,408 : x
  2. Step 2: Convert to fraction form
    11,199.20/16,798.80 = 3,408/x
  3. Step 3: Cross multiply
    11,199.20x = 16,798.80 × 3,408
  4. Step 4: Simplify right side
    11,199.20x = 57,250,310.40
  5. Step 5: Solve for x
    x = 57,250,310.40/11,199.20
  6. Step 6: Final answer
    x = 5,112.00

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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.