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Finding the Fourth Proportional to 7,777.57, 11,662.71 and 3,391.42

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Solution

The fourth proportional to 7,777.57, 11,662.71 and 3,391.42 is: 5,085.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.57 : 11,662.71 = 3,391.42 : x
  2. Step 2: Convert to fraction form
    7,777.57/11,662.71 = 3,391.42/x
  3. Step 3: Cross multiply
    7,777.57x = 11,662.71 × 3,391.42
  4. Step 4: Simplify right side
    7,777.57x = 39,553,147.95
  5. Step 5: Solve for x
    x = 39,553,147.95/7,777.57
  6. Step 6: Final answer
    x = 5,085.54

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1.5x scale

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.