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Finding the Fourth Proportional to 7,711.89, 11,583.49 and 6,807.93

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Solution

The fourth proportional to 7,711.89, 11,583.49 and 6,807.93 is: 10,225.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.89 : 11,583.49 = 6,807.93 : x
  2. Step 2: Convert to fraction form
    7,711.89/11,583.49 = 6,807.93/x
  3. Step 3: Cross multiply
    7,711.89x = 11,583.49 × 6,807.93
  4. Step 4: Simplify right side
    7,711.89x = 78,859,589.08
  5. Step 5: Solve for x
    x = 78,859,589.08/7,711.89
  6. Step 6: Final answer
    x = 10,225.71

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Why These Related Problems?

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