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Finding the Fourth Proportional to 13,500.70, 20,207.82 and 7,245.34

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Solution

The fourth proportional to 13,500.70, 20,207.82 and 7,245.34 is: 10,844.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,500.70 : 20,207.82 = 7,245.34 : x
  2. Step 2: Convert to fraction form
    13,500.70/20,207.82 = 7,245.34/x
  3. Step 3: Cross multiply
    13,500.70x = 20,207.82 × 7,245.34
  4. Step 4: Simplify right side
    13,500.70x = 146,412,526.56
  5. Step 5: Solve for x
    x = 146,412,526.56/13,500.70
  6. Step 6: Final answer
    x = 10,844.81

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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.