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Finding the Fourth Proportional to 18,754.42, 28,120.97 and 7,648.10

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Solution

The fourth proportional to 18,754.42, 28,120.97 and 7,648.10 is: 11,467.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,754.42 : 28,120.97 = 7,648.10 : x
  2. Step 2: Convert to fraction form
    18,754.42/28,120.97 = 7,648.10/x
  3. Step 3: Cross multiply
    18,754.42x = 28,120.97 × 7,648.10
  4. Step 4: Simplify right side
    18,754.42x = 215,071,990.66
  5. Step 5: Solve for x
    x = 215,071,990.66/18,754.42
  6. Step 6: Final answer
    x = 11,467.80

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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.