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Finding the Fourth Proportional to 11,599.20, 17,408.40 and 5,368.80

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Solution

The fourth proportional to 11,599.20, 17,408.40 and 5,368.80 is: 8,057.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,599.20 : 17,408.40 = 5,368.80 : x
  2. Step 2: Convert to fraction form
    11,599.20/17,408.40 = 5,368.80/x
  3. Step 3: Cross multiply
    11,599.20x = 17,408.40 × 5,368.80
  4. Step 4: Simplify right side
    11,599.20x = 93,462,217.92
  5. Step 5: Solve for x
    x = 93,462,217.92/11,599.20
  6. Step 6: Final answer
    x = 8,057.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.