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Finding the Fourth Proportional to 2,715.10, 4,072.87 and 866.47

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Solution

The fourth proportional to 2,715.10, 4,072.87 and 866.47 is: 1,299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.10 : 4,072.87 = 866.47 : x
  2. Step 2: Convert to fraction form
    2,715.10/4,072.87 = 866.47/x
  3. Step 3: Cross multiply
    2,715.10x = 4,072.87 × 866.47
  4. Step 4: Simplify right side
    2,715.10x = 3,529,029.85
  5. Step 5: Solve for x
    x = 3,529,029.85/2,715.10
  6. Step 6: Final answer
    x = 1,299.78

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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.