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Finding the Fourth Proportional to 13,812.80, 20,717.07 and 7,575.89

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Solution

The fourth proportional to 13,812.80, 20,717.07 and 7,575.89 is: 11,362.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,812.80 : 20,717.07 = 7,575.89 : x
  2. Step 2: Convert to fraction form
    13,812.80/20,717.07 = 7,575.89/x
  3. Step 3: Cross multiply
    13,812.80x = 20,717.07 × 7,575.89
  4. Step 4: Simplify right side
    13,812.80x = 156,950,243.44
  5. Step 5: Solve for x
    x = 156,950,243.44/13,812.80
  6. Step 6: Final answer
    x = 11,362.67

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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.