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Finding the Fourth Proportional to 12,635.04, 18,947.20 and 3,868

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Solution

The fourth proportional to 12,635.04, 18,947.20 and 3,868 is: 5,800.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,635.04 : 18,947.20 = 3,868 : x
  2. Step 2: Convert to fraction form
    12,635.04/18,947.20 = 3,868/x
  3. Step 3: Cross multiply
    12,635.04x = 18,947.20 × 3,868
  4. Step 4: Simplify right side
    12,635.04x = 73,287,769.60
  5. Step 5: Solve for x
    x = 73,287,769.60/12,635.04
  6. Step 6: Final answer
    x = 5,800.36

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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.