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Finding the Fourth Proportional to 7,846, 11,767.76 and 2,581

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Solution

The fourth proportional to 7,846, 11,767.76 and 2,581 is: 3,871.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,846 : 11,767.76 = 2,581 : x
  2. Step 2: Convert to fraction form
    7,846/11,767.76 = 2,581/x
  3. Step 3: Cross multiply
    7,846x = 11,767.76 × 2,581
  4. Step 4: Simplify right side
    7,846x = 30,372,588.56
  5. Step 5: Solve for x
    x = 30,372,588.56/7,846
  6. Step 6: Final answer
    x = 3,871.09

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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.