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Finding the Fourth Proportional to 11,132.70, 16,711.20 and 6,199.80

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Solution

The fourth proportional to 11,132.70, 16,711.20 and 6,199.80 is: 9,306.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,132.70 : 16,711.20 = 6,199.80 : x
  2. Step 2: Convert to fraction form
    11,132.70/16,711.20 = 6,199.80/x
  3. Step 3: Cross multiply
    11,132.70x = 16,711.20 × 6,199.80
  4. Step 4: Simplify right side
    11,132.70x = 103,606,097.76
  5. Step 5: Solve for x
    x = 103,606,097.76/11,132.70
  6. Step 6: Final answer
    x = 9,306.47

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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.