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Finding the Fourth Proportional to 9,791.28, 13,514.45 and 5,815.19

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Solution

The fourth proportional to 9,791.28, 13,514.45 and 5,815.19 is: 8,026.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.28 : 13,514.45 = 5,815.19 : x
  2. Step 2: Convert to fraction form
    9,791.28/13,514.45 = 5,815.19/x
  3. Step 3: Cross multiply
    9,791.28x = 13,514.45 × 5,815.19
  4. Step 4: Simplify right side
    9,791.28x = 78,589,099.21
  5. Step 5: Solve for x
    x = 78,589,099.21/9,791.28
  6. Step 6: Final answer
    x = 8,026.44

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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.