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Finding the Fourth Proportional to 29,286, 40,414.62 and 15,857.25

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Solution

The fourth proportional to 29,286, 40,414.62 and 15,857.25 is: 21,882.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,286 : 40,414.62 = 15,857.25 : x
  2. Step 2: Convert to fraction form
    29,286/40,414.62 = 15,857.25/x
  3. Step 3: Cross multiply
    29,286x = 40,414.62 × 15,857.25
  4. Step 4: Simplify right side
    29,286x = 640,864,733.00
  5. Step 5: Solve for x
    x = 640,864,733.00/29,286
  6. Step 6: Final answer
    x = 21,882.97

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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.