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Finding the Fourth Proportional to 5,751.92, 7,939.32 and 3,762.80

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Solution

The fourth proportional to 5,751.92, 7,939.32 and 3,762.80 is: 5,193.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.92 : 7,939.32 = 3,762.80 : x
  2. Step 2: Convert to fraction form
    5,751.92/7,939.32 = 3,762.80/x
  3. Step 3: Cross multiply
    5,751.92x = 7,939.32 × 3,762.80
  4. Step 4: Simplify right side
    5,751.92x = 29,874,073.30
  5. Step 5: Solve for x
    x = 29,874,073.30/5,751.92
  6. Step 6: Final answer
    x = 5,193.76

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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.