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Finding the Fourth Proportional to 9,487.81, 13,099.34 and 8,491.37

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Solution

The fourth proportional to 9,487.81, 13,099.34 and 8,491.37 is: 11,723.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487.81 : 13,099.34 = 8,491.37 : x
  2. Step 2: Convert to fraction form
    9,487.81/13,099.34 = 8,491.37/x
  3. Step 3: Cross multiply
    9,487.81x = 13,099.34 × 8,491.37
  4. Step 4: Simplify right side
    9,487.81x = 111,231,342.70
  5. Step 5: Solve for x
    x = 111,231,342.70/9,487.81
  6. Step 6: Final answer
    x = 11,723.61

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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.