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Finding the Fourth Proportional to 9,471.81, 13,067.10 and 5,491.47

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Solution

The fourth proportional to 9,471.81, 13,067.10 and 5,491.47 is: 7,575.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.81 : 13,067.10 = 5,491.47 : x
  2. Step 2: Convert to fraction form
    9,471.81/13,067.10 = 5,491.47/x
  3. Step 3: Cross multiply
    9,471.81x = 13,067.10 × 5,491.47
  4. Step 4: Simplify right side
    9,471.81x = 71,757,587.64
  5. Step 5: Solve for x
    x = 71,757,587.64/9,471.81
  6. Step 6: Final answer
    x = 7,575.91

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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.