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Finding the Fourth Proportional to 12,643.70, 18,966.08 and 3,878.96

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Solution

The fourth proportional to 12,643.70, 18,966.08 and 3,878.96 is: 5,818.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.70 : 18,966.08 = 3,878.96 : x
  2. Step 2: Convert to fraction form
    12,643.70/18,966.08 = 3,878.96/x
  3. Step 3: Cross multiply
    12,643.70x = 18,966.08 × 3,878.96
  4. Step 4: Simplify right side
    12,643.70x = 73,568,580.54
  5. Step 5: Solve for x
    x = 73,568,580.54/12,643.70
  6. Step 6: Final answer
    x = 5,818.60

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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.