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Finding the Fourth Proportional to 38,367, 52,947.54 and 21,600

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Solution

The fourth proportional to 38,367, 52,947.54 and 21,600 is: 29,808.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,367 : 52,947.54 = 21,600 : x
  2. Step 2: Convert to fraction form
    38,367/52,947.54 = 21,600/x
  3. Step 3: Cross multiply
    38,367x = 52,947.54 × 21,600
  4. Step 4: Simplify right side
    38,367x = 1,143,666,864
  5. Step 5: Solve for x
    x = 1,143,666,864/38,367
  6. Step 6: Final answer
    x = 29,808.61

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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.