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Finding the Fourth Proportional to 11,930.11, 17,900.22 and 6,382

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Solution

The fourth proportional to 11,930.11, 17,900.22 and 6,382 is: 9,575.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930.11 : 17,900.22 = 6,382 : x
  2. Step 2: Convert to fraction form
    11,930.11/17,900.22 = 6,382/x
  3. Step 3: Cross multiply
    11,930.11x = 17,900.22 × 6,382
  4. Step 4: Simplify right side
    11,930.11x = 114,239,204.04
  5. Step 5: Solve for x
    x = 114,239,204.04/11,930.11
  6. Step 6: Final answer
    x = 9,575.70

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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.