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Finding the Fourth Proportional to 7,806.80, 10,774.37 and 4,450.82

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Solution

The fourth proportional to 7,806.80, 10,774.37 and 4,450.82 is: 6,142.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.80 : 10,774.37 = 4,450.82 : x
  2. Step 2: Convert to fraction form
    7,806.80/10,774.37 = 4,450.82/x
  3. Step 3: Cross multiply
    7,806.80x = 10,774.37 × 4,450.82
  4. Step 4: Simplify right side
    7,806.80x = 47,954,705.36
  5. Step 5: Solve for x
    x = 47,954,705.36/7,806.80
  6. Step 6: Final answer
    x = 6,142.69

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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.