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Finding the Fourth Proportional to 7,759.82, 10,689.74 and 5,766.92

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Solution

The fourth proportional to 7,759.82, 10,689.74 and 5,766.92 is: 7,944.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.82 : 10,689.74 = 5,766.92 : x
  2. Step 2: Convert to fraction form
    7,759.82/10,689.74 = 5,766.92/x
  3. Step 3: Cross multiply
    7,759.82x = 10,689.74 × 5,766.92
  4. Step 4: Simplify right side
    7,759.82x = 61,646,846.57
  5. Step 5: Solve for x
    x = 61,646,846.57/7,759.82
  6. Step 6: Final answer
    x = 7,944.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.