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Finding the Fourth Proportional to 12,643.88, 18,940.42 and 6,299.64

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Solution

The fourth proportional to 12,643.88, 18,940.42 and 6,299.64 is: 9,436.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.88 : 18,940.42 = 6,299.64 : x
  2. Step 2: Convert to fraction form
    12,643.88/18,940.42 = 6,299.64/x
  3. Step 3: Cross multiply
    12,643.88x = 18,940.42 × 6,299.64
  4. Step 4: Simplify right side
    12,643.88x = 119,317,827.45
  5. Step 5: Solve for x
    x = 119,317,827.45/12,643.88
  6. Step 6: Final answer
    x = 9,436.80

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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.