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Finding the Fourth Proportional to 2,715.31, 4,073.04 and 866.47

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Solution

The fourth proportional to 2,715.31, 4,073.04 and 866.47 is: 1,299.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.31 : 4,073.04 = 866.47 : x
  2. Step 2: Convert to fraction form
    2,715.31/4,073.04 = 866.47/x
  3. Step 3: Cross multiply
    2,715.31x = 4,073.04 × 866.47
  4. Step 4: Simplify right side
    2,715.31x = 3,529,166.97
  5. Step 5: Solve for x
    x = 3,529,166.97/2,715.31
  6. Step 6: Final answer
    x = 1,299.73

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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.