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Finding the Fourth Proportional to 9,274.67, 12,791.60 and 8,153.21

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Solution

The fourth proportional to 9,274.67, 12,791.60 and 8,153.21 is: 11,244.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.67 : 12,791.60 = 8,153.21 : x
  2. Step 2: Convert to fraction form
    9,274.67/12,791.60 = 8,153.21/x
  3. Step 3: Cross multiply
    9,274.67x = 12,791.60 × 8,153.21
  4. Step 4: Simplify right side
    9,274.67x = 104,292,560.27
  5. Step 5: Solve for x
    x = 104,292,560.27/9,274.67
  6. Step 6: Final answer
    x = 11,244.88

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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.