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Finding the Fourth Proportional to 38,286, 52,834.68 and 21,519

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Solution

The fourth proportional to 38,286, 52,834.68 and 21,519 is: 29,696.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,286 : 52,834.68 = 21,519 : x
  2. Step 2: Convert to fraction form
    38,286/52,834.68 = 21,519/x
  3. Step 3: Cross multiply
    38,286x = 52,834.68 × 21,519
  4. Step 4: Simplify right side
    38,286x = 1,136,949,478.92
  5. Step 5: Solve for x
    x = 1,136,949,478.92/38,286
  6. Step 6: Final answer
    x = 29,696.22

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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.