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Finding the Fourth Proportional to 38,274, 52,818.39 and 21,507

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Solution

The fourth proportional to 38,274, 52,818.39 and 21,507 is: 29,679.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,274 : 52,818.39 = 21,507 : x
  2. Step 2: Convert to fraction form
    38,274/52,818.39 = 21,507/x
  3. Step 3: Cross multiply
    38,274x = 52,818.39 × 21,507
  4. Step 4: Simplify right side
    38,274x = 1,135,965,113.73
  5. Step 5: Solve for x
    x = 1,135,965,113.73/38,274
  6. Step 6: Final answer
    x = 29,679.81

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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.