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Finding the Fourth Proportional to 13,818.58, 20,734 and 7,243.20

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Solution

The fourth proportional to 13,818.58, 20,734 and 7,243.20 is: 10,868.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,818.58 : 20,734 = 7,243.20 : x
  2. Step 2: Convert to fraction form
    13,818.58/20,734 = 7,243.20/x
  3. Step 3: Cross multiply
    13,818.58x = 20,734 × 7,243.20
  4. Step 4: Simplify right side
    13,818.58x = 150,180,508.80
  5. Step 5: Solve for x
    x = 150,180,508.80/13,818.58
  6. Step 6: Final answer
    x = 10,868.01

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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.