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Finding the Fourth Proportional to 3,871.04, 5,806.55 and 949.37

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Solution

The fourth proportional to 3,871.04, 5,806.55 and 949.37 is: 1,424.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.04 : 5,806.55 = 949.37 : x
  2. Step 2: Convert to fraction form
    3,871.04/5,806.55 = 949.37/x
  3. Step 3: Cross multiply
    3,871.04x = 5,806.55 × 949.37
  4. Step 4: Simplify right side
    3,871.04x = 5,512,530.59
  5. Step 5: Solve for x
    x = 5,512,530.59/3,871.04
  6. Step 6: Final answer
    x = 1,424.05

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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.