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Finding the Fourth Proportional to 38,885, 53,661.30 and 21,221

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Solution

The fourth proportional to 38,885, 53,661.30 and 21,221 is: 29,284.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,885 : 53,661.30 = 21,221 : x
  2. Step 2: Convert to fraction form
    38,885/53,661.30 = 21,221/x
  3. Step 3: Cross multiply
    38,885x = 53,661.30 × 21,221
  4. Step 4: Simplify right side
    38,885x = 1,138,746,447.30
  5. Step 5: Solve for x
    x = 1,138,746,447.30/38,885
  6. Step 6: Final answer
    x = 29,284.98

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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.