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Finding the Fourth Proportional to 12,635.43, 18,932.28 and 7,690.11

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Solution

The fourth proportional to 12,635.43, 18,932.28 and 7,690.11 is: 11,522.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,635.43 : 18,932.28 = 7,690.11 : x
  2. Step 2: Convert to fraction form
    12,635.43/18,932.28 = 7,690.11/x
  3. Step 3: Cross multiply
    12,635.43x = 18,932.28 × 7,690.11
  4. Step 4: Simplify right side
    12,635.43x = 145,591,315.75
  5. Step 5: Solve for x
    x = 145,591,315.75/12,635.43
  6. Step 6: Final answer
    x = 11,522.47

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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.