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Finding the Fourth Proportional to 29,257.35, 40,375.09 and 15,828.62

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Solution

The fourth proportional to 29,257.35, 40,375.09 and 15,828.62 is: 21,843.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,257.35 : 40,375.09 = 15,828.62 : x
  2. Step 2: Convert to fraction form
    29,257.35/40,375.09 = 15,828.62/x
  3. Step 3: Cross multiply
    29,257.35x = 40,375.09 × 15,828.62
  4. Step 4: Simplify right side
    29,257.35x = 639,081,957.08
  5. Step 5: Solve for x
    x = 639,081,957.08/29,257.35
  6. Step 6: Final answer
    x = 21,843.47

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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.