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Finding the Fourth Proportional to 37,932, 52,346.16 and 21,165

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Solution

The fourth proportional to 37,932, 52,346.16 and 21,165 is: 29,207.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,932 : 52,346.16 = 21,165 : x
  2. Step 2: Convert to fraction form
    37,932/52,346.16 = 21,165/x
  3. Step 3: Cross multiply
    37,932x = 52,346.16 × 21,165
  4. Step 4: Simplify right side
    37,932x = 1,107,906,476.40
  5. Step 5: Solve for x
    x = 1,107,906,476.40/37,932
  6. Step 6: Final answer
    x = 29,207.70

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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.