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Finding the Fourth Proportional to 13,481.99, 20,197.47 and 7,642.70

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Solution

The fourth proportional to 13,481.99, 20,197.47 and 7,642.70 is: 11,449.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,481.99 : 20,197.47 = 7,642.70 : x
  2. Step 2: Convert to fraction form
    13,481.99/20,197.47 = 7,642.70/x
  3. Step 3: Cross multiply
    13,481.99x = 20,197.47 × 7,642.70
  4. Step 4: Simplify right side
    13,481.99x = 154,363,203.97
  5. Step 5: Solve for x
    x = 154,363,203.97/13,481.99
  6. Step 6: Final answer
    x = 11,449.59

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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.