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Finding the Fourth Proportional to 13,764.31, 20,640.07 and 6,744.67

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Solution

The fourth proportional to 13,764.31, 20,640.07 and 6,744.67 is: 10,113.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,764.31 : 20,640.07 = 6,744.67 : x
  2. Step 2: Convert to fraction form
    13,764.31/20,640.07 = 6,744.67/x
  3. Step 3: Cross multiply
    13,764.31x = 20,640.07 × 6,744.67
  4. Step 4: Simplify right side
    13,764.31x = 139,210,460.93
  5. Step 5: Solve for x
    x = 139,210,460.93/13,764.31
  6. Step 6: Final answer
    x = 10,113.87

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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.