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Finding the Fourth Proportional to 13,816.71, 20,720.88 and 7,239.24

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Solution

The fourth proportional to 13,816.71, 20,720.88 and 7,239.24 is: 10,856.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.71 : 20,720.88 = 7,239.24 : x
  2. Step 2: Convert to fraction form
    13,816.71/20,720.88 = 7,239.24/x
  3. Step 3: Cross multiply
    13,816.71x = 20,720.88 × 7,239.24
  4. Step 4: Simplify right side
    13,816.71x = 150,003,423.33
  5. Step 5: Solve for x
    x = 150,003,423.33/13,816.71
  6. Step 6: Final answer
    x = 10,856.67

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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.