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Finding the Fourth Proportional to 11,326.29, 16,978.97 and 10,392.03

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Solution

The fourth proportional to 11,326.29, 16,978.97 and 10,392.03 is: 15,578.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,326.29 : 16,978.97 = 10,392.03 : x
  2. Step 2: Convert to fraction form
    11,326.29/16,978.97 = 10,392.03/x
  3. Step 3: Cross multiply
    11,326.29x = 16,978.97 × 10,392.03
  4. Step 4: Simplify right side
    11,326.29x = 176,445,913.65
  5. Step 5: Solve for x
    x = 176,445,913.65/11,326.29
  6. Step 6: Final answer
    x = 15,578.44

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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.