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Finding the Fourth Proportional to 11,399.70, 17,099.37 and 9,447.78

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Solution

The fourth proportional to 11,399.70, 17,099.37 and 9,447.78 is: 14,171.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,399.70 : 17,099.37 = 9,447.78 : x
  2. Step 2: Convert to fraction form
    11,399.70/17,099.37 = 9,447.78/x
  3. Step 3: Cross multiply
    11,399.70x = 17,099.37 × 9,447.78
  4. Step 4: Simplify right side
    11,399.70x = 161,551,085.90
  5. Step 5: Solve for x
    x = 161,551,085.90/11,399.70
  6. Step 6: Final answer
    x = 14,171.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.