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Finding the Fourth Proportional to 18,822.61, 28,229.18 and 7,732.36

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Solution

The fourth proportional to 18,822.61, 28,229.18 and 7,732.36 is: 11,596.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,822.61 : 28,229.18 = 7,732.36 : x
  2. Step 2: Convert to fraction form
    18,822.61/28,229.18 = 7,732.36/x
  3. Step 3: Cross multiply
    18,822.61x = 28,229.18 × 7,732.36
  4. Step 4: Simplify right side
    18,822.61x = 218,278,073.03
  5. Step 5: Solve for x
    x = 218,278,073.03/18,822.61
  6. Step 6: Final answer
    x = 11,596.59

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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.