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Finding the Fourth Proportional to 38,082, 52,553.16 and 21,315

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Solution

The fourth proportional to 38,082, 52,553.16 and 21,315 is: 29,414.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,082 : 52,553.16 = 21,315 : x
  2. Step 2: Convert to fraction form
    38,082/52,553.16 = 21,315/x
  3. Step 3: Cross multiply
    38,082x = 52,553.16 × 21,315
  4. Step 4: Simplify right side
    38,082x = 1,120,170,605.40
  5. Step 5: Solve for x
    x = 1,120,170,605.40/38,082
  6. Step 6: Final answer
    x = 29,414.70

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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.