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Finding the Fourth Proportional to 13,453.31, 20,161.46 and 6,865.65

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Solution

The fourth proportional to 13,453.31, 20,161.46 and 6,865.65 is: 10,289.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,453.31 : 20,161.46 = 6,865.65 : x
  2. Step 2: Convert to fraction form
    13,453.31/20,161.46 = 6,865.65/x
  3. Step 3: Cross multiply
    13,453.31x = 20,161.46 × 6,865.65
  4. Step 4: Simplify right side
    13,453.31x = 138,421,493.52
  5. Step 5: Solve for x
    x = 138,421,493.52/13,453.31
  6. Step 6: Final answer
    x = 10,289.03

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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.