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Finding the Fourth Proportional to 10,662.21, 15,993.69 and 2,871.21

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Solution

The fourth proportional to 10,662.21, 15,993.69 and 2,871.21 is: 4,306.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,662.21 : 15,993.69 = 2,871.21 : x
  2. Step 2: Convert to fraction form
    10,662.21/15,993.69 = 2,871.21/x
  3. Step 3: Cross multiply
    10,662.21x = 15,993.69 × 2,871.21
  4. Step 4: Simplify right side
    10,662.21x = 45,921,242.66
  5. Step 5: Solve for x
    x = 45,921,242.66/10,662.21
  6. Step 6: Final answer
    x = 4,306.92

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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.