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Finding the Fourth Proportional to 9,399.40, 14,099.10 and 7,757.80

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Solution

The fourth proportional to 9,399.40, 14,099.10 and 7,757.80 is: 11,636.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,399.40 : 14,099.10 = 7,757.80 : x
  2. Step 2: Convert to fraction form
    9,399.40/14,099.10 = 7,757.80/x
  3. Step 3: Cross multiply
    9,399.40x = 14,099.10 × 7,757.80
  4. Step 4: Simplify right side
    9,399.40x = 109,377,997.98
  5. Step 5: Solve for x
    x = 109,377,997.98/9,399.40
  6. Step 6: Final answer
    x = 11,636.70

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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.