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Finding the Fourth Proportional to 7,922.47, 11,891.51 and 5,836.63

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Solution

The fourth proportional to 7,922.47, 11,891.51 and 5,836.63 is: 8,760.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,922.47 : 11,891.51 = 5,836.63 : x
  2. Step 2: Convert to fraction form
    7,922.47/11,891.51 = 5,836.63/x
  3. Step 3: Cross multiply
    7,922.47x = 11,891.51 × 5,836.63
  4. Step 4: Simplify right side
    7,922.47x = 69,406,344.01
  5. Step 5: Solve for x
    x = 69,406,344.01/7,922.47
  6. Step 6: Final answer
    x = 8,760.70

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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.