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Finding the Fourth Proportional to 39,380.65, 54,344.31 and 21,476

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Solution

The fourth proportional to 39,380.65, 54,344.31 and 21,476 is: 29,636.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,380.65 : 54,344.31 = 21,476 : x
  2. Step 2: Convert to fraction form
    39,380.65/54,344.31 = 21,476/x
  3. Step 3: Cross multiply
    39,380.65x = 54,344.31 × 21,476
  4. Step 4: Simplify right side
    39,380.65x = 1,167,098,401.56
  5. Step 5: Solve for x
    x = 1,167,098,401.56/39,380.65
  6. Step 6: Final answer
    x = 29,636.34

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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.