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Finding the Fourth Proportional to 38,078.48, 52,549 and 21,311.44

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Solution

The fourth proportional to 38,078.48, 52,549 and 21,311.44 is: 29,410.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,078.48 : 52,549 = 21,311.44 : x
  2. Step 2: Convert to fraction form
    38,078.48/52,549 = 21,311.44/x
  3. Step 3: Cross multiply
    38,078.48x = 52,549 × 21,311.44
  4. Step 4: Simplify right side
    38,078.48x = 1,119,894,860.56
  5. Step 5: Solve for x
    x = 1,119,894,860.56/38,078.48
  6. Step 6: Final answer
    x = 29,410.18

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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.