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Finding the Fourth Proportional to 9,942.75, 13,700.41 and 7,107.82

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Solution

The fourth proportional to 9,942.75, 13,700.41 and 7,107.82 is: 9,794.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,942.75 : 13,700.41 = 7,107.82 : x
  2. Step 2: Convert to fraction form
    9,942.75/13,700.41 = 7,107.82/x
  3. Step 3: Cross multiply
    9,942.75x = 13,700.41 × 7,107.82
  4. Step 4: Simplify right side
    9,942.75x = 97,379,996.19
  5. Step 5: Solve for x
    x = 97,379,996.19/9,942.75
  6. Step 6: Final answer
    x = 9,794.07

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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.