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Finding the Fourth Proportional to 14,003.10, 20,986.20 and 10,287.90

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Solution

The fourth proportional to 14,003.10, 20,986.20 and 10,287.90 is: 15,418.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,003.10 : 20,986.20 = 10,287.90 : x
  2. Step 2: Convert to fraction form
    14,003.10/20,986.20 = 10,287.90/x
  3. Step 3: Cross multiply
    14,003.10x = 20,986.20 × 10,287.90
  4. Step 4: Simplify right side
    14,003.10x = 215,903,926.98
  5. Step 5: Solve for x
    x = 215,903,926.98/14,003.10
  6. Step 6: Final answer
    x = 15,418.30

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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.