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Finding the Fourth Proportional to 38,921, 53,712.26 and 21,257

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Solution

The fourth proportional to 38,921, 53,712.26 and 21,257 is: 29,335.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,921 : 53,712.26 = 21,257 : x
  2. Step 2: Convert to fraction form
    38,921/53,712.26 = 21,257/x
  3. Step 3: Cross multiply
    38,921x = 53,712.26 × 21,257
  4. Step 4: Simplify right side
    38,921x = 1,141,761,510.82
  5. Step 5: Solve for x
    x = 1,141,761,510.82/38,921
  6. Step 6: Final answer
    x = 29,335.36

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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.