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Finding the Fourth Proportional to 9,418, 12,996.84 and 5,227.08

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Solution

The fourth proportional to 9,418, 12,996.84 and 5,227.08 is: 7,213.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,418 : 12,996.84 = 5,227.08 : x
  2. Step 2: Convert to fraction form
    9,418/12,996.84 = 5,227.08/x
  3. Step 3: Cross multiply
    9,418x = 12,996.84 × 5,227.08
  4. Step 4: Simplify right side
    9,418x = 67,935,522.43
  5. Step 5: Solve for x
    x = 67,935,522.43/9,418
  6. Step 6: Final answer
    x = 7,213.37

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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.