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Finding the Fourth Proportional to 13,770.31, 20,649.06 and 6,750.67

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Solution

The fourth proportional to 13,770.31, 20,649.06 and 6,750.67 is: 10,122.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,770.31 : 20,649.06 = 6,750.67 : x
  2. Step 2: Convert to fraction form
    13,770.31/20,649.06 = 6,750.67/x
  3. Step 3: Cross multiply
    13,770.31x = 20,649.06 × 6,750.67
  4. Step 4: Simplify right side
    13,770.31x = 139,394,989.87
  5. Step 5: Solve for x
    x = 139,394,989.87/13,770.31
  6. Step 6: Final answer
    x = 10,122.87

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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.