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Finding the Fourth Proportional to 3,806.64, 5,252.84 and 2,127.92

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Solution

The fourth proportional to 3,806.64, 5,252.84 and 2,127.92 is: 2,936.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.64 : 5,252.84 = 2,127.92 : x
  2. Step 2: Convert to fraction form
    3,806.64/5,252.84 = 2,127.92/x
  3. Step 3: Cross multiply
    3,806.64x = 5,252.84 × 2,127.92
  4. Step 4: Simplify right side
    3,806.64x = 11,177,623.29
  5. Step 5: Solve for x
    x = 11,177,623.29/3,806.64
  6. Step 6: Final answer
    x = 2,936.35

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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.