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Finding the Fourth Proportional to 9,958.99, 13,738.24 and 8,072.71

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Solution

The fourth proportional to 9,958.99, 13,738.24 and 8,072.71 is: 11,136.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,958.99 : 13,738.24 = 8,072.71 : x
  2. Step 2: Convert to fraction form
    9,958.99/13,738.24 = 8,072.71/x
  3. Step 3: Cross multiply
    9,958.99x = 13,738.24 × 8,072.71
  4. Step 4: Simplify right side
    9,958.99x = 110,904,827.43
  5. Step 5: Solve for x
    x = 110,904,827.43/9,958.99
  6. Step 6: Final answer
    x = 11,136.15

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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.