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Finding the Fourth Proportional to 14,195, 19,589.10 and 7,907.78

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Solution

The fourth proportional to 14,195, 19,589.10 and 7,907.78 is: 10,912.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,195 : 19,589.10 = 7,907.78 : x
  2. Step 2: Convert to fraction form
    14,195/19,589.10 = 7,907.78/x
  3. Step 3: Cross multiply
    14,195x = 19,589.10 × 7,907.78
  4. Step 4: Simplify right side
    14,195x = 154,906,293.20
  5. Step 5: Solve for x
    x = 154,906,293.20/14,195
  6. Step 6: Final answer
    x = 10,912.74

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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.