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Finding the Fourth Proportional to 51,456, 71,009.28 and 27,904

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Solution

The fourth proportional to 51,456, 71,009.28 and 27,904 is: 38,507.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,456 : 71,009.28 = 27,904 : x
  2. Step 2: Convert to fraction form
    51,456/71,009.28 = 27,904/x
  3. Step 3: Cross multiply
    51,456x = 71,009.28 × 27,904
  4. Step 4: Simplify right side
    51,456x = 1,981,442,949.12
  5. Step 5: Solve for x
    x = 1,981,442,949.12/51,456
  6. Step 6: Final answer
    x = 38,507.52

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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.