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Finding the Fourth Proportional to 13,773.86, 20,661.02 and 7,212.86

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Solution

The fourth proportional to 13,773.86, 20,661.02 and 7,212.86 is: 10,819.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773.86 : 20,661.02 = 7,212.86 : x
  2. Step 2: Convert to fraction form
    13,773.86/20,661.02 = 7,212.86/x
  3. Step 3: Cross multiply
    13,773.86x = 20,661.02 × 7,212.86
  4. Step 4: Simplify right side
    13,773.86x = 149,025,044.72
  5. Step 5: Solve for x
    x = 149,025,044.72/13,773.86
  6. Step 6: Final answer
    x = 10,819.41

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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.