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Finding the Fourth Proportional to 5,739.92, 7,917.92 and 3,381.76

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Solution

The fourth proportional to 5,739.92, 7,917.92 and 3,381.76 is: 4,664.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.92 : 7,917.92 = 3,381.76 : x
  2. Step 2: Convert to fraction form
    5,739.92/7,917.92 = 3,381.76/x
  3. Step 3: Cross multiply
    5,739.92x = 7,917.92 × 3,381.76
  4. Step 4: Simplify right side
    5,739.92x = 26,776,505.14
  5. Step 5: Solve for x
    x = 26,776,505.14/5,739.92
  6. Step 6: Final answer
    x = 4,664.96

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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.