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Finding the Fourth Proportional to 13,481, 20,222.22 and 4,247.72

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Solution

The fourth proportional to 13,481, 20,222.22 and 4,247.72 is: 6,371.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,481 : 20,222.22 = 4,247.72 : x
  2. Step 2: Convert to fraction form
    13,481/20,222.22 = 4,247.72/x
  3. Step 3: Cross multiply
    13,481x = 20,222.22 × 4,247.72
  4. Step 4: Simplify right side
    13,481x = 85,898,328.34
  5. Step 5: Solve for x
    x = 85,898,328.34/13,481
  6. Step 6: Final answer
    x = 6,371.81

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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.