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Finding the Fourth Proportional to 13,818.52, 20,733.90 and 7,243.14

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Solution

The fourth proportional to 13,818.52, 20,733.90 and 7,243.14 is: 10,867.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,818.52 : 20,733.90 = 7,243.14 : x
  2. Step 2: Convert to fraction form
    13,818.52/20,733.90 = 7,243.14/x
  3. Step 3: Cross multiply
    13,818.52x = 20,733.90 × 7,243.14
  4. Step 4: Simplify right side
    13,818.52x = 150,178,540.45
  5. Step 5: Solve for x
    x = 150,178,540.45/13,818.52
  6. Step 6: Final answer
    x = 10,867.92

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1.5x scale

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.