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Finding the Fourth Proportional to 12,662.50, 18,945.56 and 7,646.41

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Solution

The fourth proportional to 12,662.50, 18,945.56 and 7,646.41 is: 11,440.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,662.50 : 18,945.56 = 7,646.41 : x
  2. Step 2: Convert to fraction form
    12,662.50/18,945.56 = 7,646.41/x
  3. Step 3: Cross multiply
    12,662.50x = 18,945.56 × 7,646.41
  4. Step 4: Simplify right side
    12,662.50x = 144,865,519.44
  5. Step 5: Solve for x
    x = 144,865,519.44/12,662.50
  6. Step 6: Final answer
    x = 11,440.51

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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.