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Finding the Fourth Proportional to 6,392.92, 8,822.21 and 3,739.81

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Solution

The fourth proportional to 6,392.92, 8,822.21 and 3,739.81 is: 5,160.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,392.92 : 8,822.21 = 3,739.81 : x
  2. Step 2: Convert to fraction form
    6,392.92/8,822.21 = 3,739.81/x
  3. Step 3: Cross multiply
    6,392.92x = 8,822.21 × 3,739.81
  4. Step 4: Simplify right side
    6,392.92x = 32,993,376.47
  5. Step 5: Solve for x
    x = 32,993,376.47/6,392.92
  6. Step 6: Final answer
    x = 5,160.93

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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.