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Finding the Fourth Proportional to 13,381.80, 20,072.07 and 6,356.67

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Solution

The fourth proportional to 13,381.80, 20,072.07 and 6,356.67 is: 9,534.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.80 : 20,072.07 = 6,356.67 : x
  2. Step 2: Convert to fraction form
    13,381.80/20,072.07 = 6,356.67/x
  3. Step 3: Cross multiply
    13,381.80x = 20,072.07 × 6,356.67
  4. Step 4: Simplify right side
    13,381.80x = 127,591,525.21
  5. Step 5: Solve for x
    x = 127,591,525.21/13,381.80
  6. Step 6: Final answer
    x = 9,534.71

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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.