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Finding the Fourth Proportional to 38,185, 52,695.33 and 21,418

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Solution

The fourth proportional to 38,185, 52,695.33 and 21,418 is: 29,556.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,185 : 52,695.33 = 21,418 : x
  2. Step 2: Convert to fraction form
    38,185/52,695.33 = 21,418/x
  3. Step 3: Cross multiply
    38,185x = 52,695.33 × 21,418
  4. Step 4: Simplify right side
    38,185x = 1,128,628,577.94
  5. Step 5: Solve for x
    x = 1,128,628,577.94/38,185
  6. Step 6: Final answer
    x = 29,556.86

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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.