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Finding the Fourth Proportional to 12,486.21, 18,713.16 and 5,082

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Solution

The fourth proportional to 12,486.21, 18,713.16 and 5,082 is: 7,616.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,486.21 : 18,713.16 = 5,082 : x
  2. Step 2: Convert to fraction form
    12,486.21/18,713.16 = 5,082/x
  3. Step 3: Cross multiply
    12,486.21x = 18,713.16 × 5,082
  4. Step 4: Simplify right side
    12,486.21x = 95,100,279.12
  5. Step 5: Solve for x
    x = 95,100,279.12/12,486.21
  6. Step 6: Final answer
    x = 7,616.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.