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Finding the Fourth Proportional to 18,764.64, 28,139.92 and 7,071.52

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Solution

The fourth proportional to 18,764.64, 28,139.92 and 7,071.52 is: 10,604.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,764.64 : 28,139.92 = 7,071.52 : x
  2. Step 2: Convert to fraction form
    18,764.64/28,139.92 = 7,071.52/x
  3. Step 3: Cross multiply
    18,764.64x = 28,139.92 × 7,071.52
  4. Step 4: Simplify right side
    18,764.64x = 198,992,007.08
  5. Step 5: Solve for x
    x = 198,992,007.08/18,764.64
  6. Step 6: Final answer
    x = 10,604.63

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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.