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Finding the Fourth Proportional to 7,871.92, 10,863.94 and 4,335.82

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Solution

The fourth proportional to 7,871.92, 10,863.94 and 4,335.82 is: 5,983.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.92 : 10,863.94 = 4,335.82 : x
  2. Step 2: Convert to fraction form
    7,871.92/10,863.94 = 4,335.82/x
  3. Step 3: Cross multiply
    7,871.92x = 10,863.94 × 4,335.82
  4. Step 4: Simplify right side
    7,871.92x = 47,104,088.33
  5. Step 5: Solve for x
    x = 47,104,088.33/7,871.92
  6. Step 6: Final answer
    x = 5,983.81

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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.