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Finding the Fourth Proportional to 27,794, 38,355.86 and 15,857.22

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Solution

The fourth proportional to 27,794, 38,355.86 and 15,857.22 is: 21,883.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,794 : 38,355.86 = 15,857.22 : x
  2. Step 2: Convert to fraction form
    27,794/38,355.86 = 15,857.22/x
  3. Step 3: Cross multiply
    27,794x = 38,355.86 × 15,857.22
  4. Step 4: Simplify right side
    27,794x = 608,217,310.31
  5. Step 5: Solve for x
    x = 608,217,310.31/27,794
  6. Step 6: Final answer
    x = 21,883.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.