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Finding the Fourth Proportional to 9,791.64, 13,506.84 and 7,135.92

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Solution

The fourth proportional to 9,791.64, 13,506.84 and 7,135.92 is: 9,843.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.64 : 13,506.84 = 7,135.92 : x
  2. Step 2: Convert to fraction form
    9,791.64/13,506.84 = 7,135.92/x
  3. Step 3: Cross multiply
    9,791.64x = 13,506.84 × 7,135.92
  4. Step 4: Simplify right side
    9,791.64x = 96,383,729.69
  5. Step 5: Solve for x
    x = 96,383,729.69/9,791.64
  6. Step 6: Final answer
    x = 9,843.47

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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.