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Finding the Fourth Proportional to 29,175, 40,261.50 and 15,927

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Solution

The fourth proportional to 29,175, 40,261.50 and 15,927 is: 21,979.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,175 : 40,261.50 = 15,927 : x
  2. Step 2: Convert to fraction form
    29,175/40,261.50 = 15,927/x
  3. Step 3: Cross multiply
    29,175x = 40,261.50 × 15,927
  4. Step 4: Simplify right side
    29,175x = 641,244,910.50
  5. Step 5: Solve for x
    x = 641,244,910.50/29,175
  6. Step 6: Final answer
    x = 21,979.26

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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.