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Finding the Fourth Proportional to 18,728.26, 28,073.96 and 7,642.74

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Solution

The fourth proportional to 18,728.26, 28,073.96 and 7,642.74 is: 11,456.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,728.26 : 28,073.96 = 7,642.74 : x
  2. Step 2: Convert to fraction form
    18,728.26/28,073.96 = 7,642.74/x
  3. Step 3: Cross multiply
    18,728.26x = 28,073.96 × 7,642.74
  4. Step 4: Simplify right side
    18,728.26x = 214,561,977.05
  5. Step 5: Solve for x
    x = 214,561,977.05/18,728.26
  6. Step 6: Final answer
    x = 11,456.59

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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.