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Finding the Fourth Proportional to 7,933.52, 11,891.64 and 5,330

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Solution

The fourth proportional to 7,933.52, 11,891.64 and 5,330 is: 7,989.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,933.52 : 11,891.64 = 5,330 : x
  2. Step 2: Convert to fraction form
    7,933.52/11,891.64 = 5,330/x
  3. Step 3: Cross multiply
    7,933.52x = 11,891.64 × 5,330
  4. Step 4: Simplify right side
    7,933.52x = 63,382,441.20
  5. Step 5: Solve for x
    x = 63,382,441.20/7,933.52
  6. Step 6: Final answer
    x = 7,989.20

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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.