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Finding the Fourth Proportional to 7,077.85, 9,766.78 and 4,093.62

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Solution

The fourth proportional to 7,077.85, 9,766.78 and 4,093.62 is: 5,648.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.85 : 9,766.78 = 4,093.62 : x
  2. Step 2: Convert to fraction form
    7,077.85/9,766.78 = 4,093.62/x
  3. Step 3: Cross multiply
    7,077.85x = 9,766.78 × 4,093.62
  4. Step 4: Simplify right side
    7,077.85x = 39,981,485.94
  5. Step 5: Solve for x
    x = 39,981,485.94/7,077.85
  6. Step 6: Final answer
    x = 5,648.82

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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.