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Finding the Fourth Proportional to 38,900, 53,682 and 21,236

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Solution

The fourth proportional to 38,900, 53,682 and 21,236 is: 29,305.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,900 : 53,682 = 21,236 : x
  2. Step 2: Convert to fraction form
    38,900/53,682 = 21,236/x
  3. Step 3: Cross multiply
    38,900x = 53,682 × 21,236
  4. Step 4: Simplify right side
    38,900x = 1,139,990,952
  5. Step 5: Solve for x
    x = 1,139,990,952/38,900
  6. Step 6: Final answer
    x = 29,305.68

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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.