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Finding the Fourth Proportional to 9,491.07, 13,103.84 and 8,494.62

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Solution

The fourth proportional to 9,491.07, 13,103.84 and 8,494.62 is: 11,728.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.07 : 13,103.84 = 8,494.62 : x
  2. Step 2: Convert to fraction form
    9,491.07/13,103.84 = 8,494.62/x
  3. Step 3: Cross multiply
    9,491.07x = 13,103.84 × 8,494.62
  4. Step 4: Simplify right side
    9,491.07x = 111,312,098.87
  5. Step 5: Solve for x
    x = 111,312,098.87/9,491.07
  6. Step 6: Final answer
    x = 11,728.09

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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.