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Finding the Fourth Proportional to 18,754.76, 28,138.62 and 7,071.32

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Solution

The fourth proportional to 18,754.76, 28,138.62 and 7,071.32 is: 10,609.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,754.76 : 28,138.62 = 7,071.32 : x
  2. Step 2: Convert to fraction form
    18,754.76/28,138.62 = 7,071.32/x
  3. Step 3: Cross multiply
    18,754.76x = 28,138.62 × 7,071.32
  4. Step 4: Simplify right side
    18,754.76x = 198,977,045.69
  5. Step 5: Solve for x
    x = 198,977,045.69/18,754.76
  6. Step 6: Final answer
    x = 10,609.42

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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.