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Finding the Fourth Proportional to 10,711.45, 16,067.12 and 7,146.03

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Solution

The fourth proportional to 10,711.45, 16,067.12 and 7,146.03 is: 10,719.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.45 : 16,067.12 = 7,146.03 : x
  2. Step 2: Convert to fraction form
    10,711.45/16,067.12 = 7,146.03/x
  3. Step 3: Cross multiply
    10,711.45x = 16,067.12 × 7,146.03
  4. Step 4: Simplify right side
    10,711.45x = 114,816,121.53
  5. Step 5: Solve for x
    x = 114,816,121.53/10,711.45
  6. Step 6: Final answer
    x = 10,719.01

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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.