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Finding the Fourth Proportional to 38,313, 52,874.37 and 21,546

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Solution

The fourth proportional to 38,313, 52,874.37 and 21,546 is: 29,734.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,313 : 52,874.37 = 21,546 : x
  2. Step 2: Convert to fraction form
    38,313/52,874.37 = 21,546/x
  3. Step 3: Cross multiply
    38,313x = 52,874.37 × 21,546
  4. Step 4: Simplify right side
    38,313x = 1,139,231,176.02
  5. Step 5: Solve for x
    x = 1,139,231,176.02/38,313
  6. Step 6: Final answer
    x = 29,734.85

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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.