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Finding the Fourth Proportional to 12,791.96, 17,646.67 and 8,253.41

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Solution

The fourth proportional to 12,791.96, 17,646.67 and 8,253.41 is: 11,385.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,791.96 : 17,646.67 = 8,253.41 : x
  2. Step 2: Convert to fraction form
    12,791.96/17,646.67 = 8,253.41/x
  3. Step 3: Cross multiply
    12,791.96x = 17,646.67 × 8,253.41
  4. Step 4: Simplify right side
    12,791.96x = 145,645,202.64
  5. Step 5: Solve for x
    x = 145,645,202.64/12,791.96
  6. Step 6: Final answer
    x = 11,385.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.