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Finding the Fourth Proportional to 9,791.59, 13,502.47 and 8,379.97

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Solution

The fourth proportional to 9,791.59, 13,502.47 and 8,379.97 is: 11,555.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.59 : 13,502.47 = 8,379.97 : x
  2. Step 2: Convert to fraction form
    9,791.59/13,502.47 = 8,379.97/x
  3. Step 3: Cross multiply
    9,791.59x = 13,502.47 × 8,379.97
  4. Step 4: Simplify right side
    9,791.59x = 113,150,293.53
  5. Step 5: Solve for x
    x = 113,150,293.53/9,791.59
  6. Step 6: Final answer
    x = 11,555.87

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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.