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Finding the Fourth Proportional to 3,806.64, 5,707.80 and 2,571.12

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Solution

The fourth proportional to 3,806.64, 5,707.80 and 2,571.12 is: 3,855.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.64 : 5,707.80 = 2,571.12 : x
  2. Step 2: Convert to fraction form
    3,806.64/5,707.80 = 2,571.12/x
  3. Step 3: Cross multiply
    3,806.64x = 5,707.80 × 2,571.12
  4. Step 4: Simplify right side
    3,806.64x = 14,675,438.74
  5. Step 5: Solve for x
    x = 14,675,438.74/3,806.64
  6. Step 6: Final answer
    x = 3,855.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.