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Finding the Fourth Proportional to 7,857.75, 11,786.76 and 2,663.76

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Solution

The fourth proportional to 7,857.75, 11,786.76 and 2,663.76 is: 3,995.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.75 : 11,786.76 = 2,663.76 : x
  2. Step 2: Convert to fraction form
    7,857.75/11,786.76 = 2,663.76/x
  3. Step 3: Cross multiply
    7,857.75x = 11,786.76 × 2,663.76
  4. Step 4: Simplify right side
    7,857.75x = 31,397,099.82
  5. Step 5: Solve for x
    x = 31,397,099.82/7,857.75
  6. Step 6: Final answer
    x = 3,995.69

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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.