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Finding the Fourth Proportional to 12,643.14, 18,964.02 and 3,878.05

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Solution

The fourth proportional to 12,643.14, 18,964.02 and 3,878.05 is: 5,816.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.14 : 18,964.02 = 3,878.05 : x
  2. Step 2: Convert to fraction form
    12,643.14/18,964.02 = 3,878.05/x
  3. Step 3: Cross multiply
    12,643.14x = 18,964.02 × 3,878.05
  4. Step 4: Simplify right side
    12,643.14x = 73,543,473.79
  5. Step 5: Solve for x
    x = 73,543,473.79/12,643.14
  6. Step 6: Final answer
    x = 5,816.87

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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.