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Finding the Fourth Proportional to 7,967.94, 11,951.10 and 2,125.14

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Solution

The fourth proportional to 7,967.94, 11,951.10 and 2,125.14 is: 3,187.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.94 : 11,951.10 = 2,125.14 : x
  2. Step 2: Convert to fraction form
    7,967.94/11,951.10 = 2,125.14/x
  3. Step 3: Cross multiply
    7,967.94x = 11,951.10 × 2,125.14
  4. Step 4: Simplify right side
    7,967.94x = 25,397,760.65
  5. Step 5: Solve for x
    x = 25,397,760.65/7,967.94
  6. Step 6: Final answer
    x = 3,187.49

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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.