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Finding the Fourth Proportional to 7,620.52, 11,431.98 and 3,238

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Solution

The fourth proportional to 7,620.52, 11,431.98 and 3,238 is: 4,857.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,620.52 : 11,431.98 = 3,238 : x
  2. Step 2: Convert to fraction form
    7,620.52/11,431.98 = 3,238/x
  3. Step 3: Cross multiply
    7,620.52x = 11,431.98 × 3,238
  4. Step 4: Simplify right side
    7,620.52x = 37,016,751.24
  5. Step 5: Solve for x
    x = 37,016,751.24/7,620.52
  6. Step 6: Final answer
    x = 4,857.51

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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.