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Finding the Fourth Proportional to 13,645.70, 20,467.59 and 5,324.16

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Solution

The fourth proportional to 13,645.70, 20,467.59 and 5,324.16 is: 7,985.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,645.70 : 20,467.59 = 5,324.16 : x
  2. Step 2: Convert to fraction form
    13,645.70/20,467.59 = 5,324.16/x
  3. Step 3: Cross multiply
    13,645.70x = 20,467.59 × 5,324.16
  4. Step 4: Simplify right side
    13,645.70x = 108,972,723.97
  5. Step 5: Solve for x
    x = 108,972,723.97/13,645.70
  6. Step 6: Final answer
    x = 7,985.87

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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.