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Finding the Fourth Proportional to 12,642.64, 18,963.12 and 3,876.76

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Solution

The fourth proportional to 12,642.64, 18,963.12 and 3,876.76 is: 5,814.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.64 : 18,963.12 = 3,876.76 : x
  2. Step 2: Convert to fraction form
    12,642.64/18,963.12 = 3,876.76/x
  3. Step 3: Cross multiply
    12,642.64x = 18,963.12 × 3,876.76
  4. Step 4: Simplify right side
    12,642.64x = 73,515,465.09
  5. Step 5: Solve for x
    x = 73,515,465.09/12,642.64
  6. Step 6: Final answer
    x = 5,814.88

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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.