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Finding the Fourth Proportional to 7,782, 11,674.23 and 2,589.09

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Solution

The fourth proportional to 7,782, 11,674.23 and 2,589.09 is: 3,884.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782 : 11,674.23 = 2,589.09 : x
  2. Step 2: Convert to fraction form
    7,782/11,674.23 = 2,589.09/x
  3. Step 3: Cross multiply
    7,782x = 11,674.23 × 2,589.09
  4. Step 4: Simplify right side
    7,782x = 30,225,632.15
  5. Step 5: Solve for x
    x = 30,225,632.15/7,782
  6. Step 6: Final answer
    x = 3,884.04

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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.