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Finding the Fourth Proportional to 5,768.92, 7,957.42 and 3,640.70

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Solution

The fourth proportional to 5,768.92, 7,957.42 and 3,640.70 is: 5,021.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.92 : 7,957.42 = 3,640.70 : x
  2. Step 2: Convert to fraction form
    5,768.92/7,957.42 = 3,640.70/x
  3. Step 3: Cross multiply
    5,768.92x = 7,957.42 × 3,640.70
  4. Step 4: Simplify right side
    5,768.92x = 28,970,578.99
  5. Step 5: Solve for x
    x = 28,970,578.99/5,768.92
  6. Step 6: Final answer
    x = 5,021.84

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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.