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Finding the Fourth Proportional to 13,818.84, 20,734.44 and 7,243.52

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Solution

The fourth proportional to 13,818.84, 20,734.44 and 7,243.52 is: 10,868.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,818.84 : 20,734.44 = 7,243.52 : x
  2. Step 2: Convert to fraction form
    13,818.84/20,734.44 = 7,243.52/x
  3. Step 3: Cross multiply
    13,818.84x = 20,734.44 × 7,243.52
  4. Step 4: Simplify right side
    13,818.84x = 150,190,330.83
  5. Step 5: Solve for x
    x = 150,190,330.83/13,818.84
  6. Step 6: Final answer
    x = 10,868.52

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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.