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Finding the Fourth Proportional to 2,715.70, 4,073.84 and 866.66

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Solution

The fourth proportional to 2,715.70, 4,073.84 and 866.66 is: 1,300.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.70 : 4,073.84 = 866.66 : x
  2. Step 2: Convert to fraction form
    2,715.70/4,073.84 = 866.66/x
  3. Step 3: Cross multiply
    2,715.70x = 4,073.84 × 866.66
  4. Step 4: Simplify right side
    2,715.70x = 3,530,634.17
  5. Step 5: Solve for x
    x = 3,530,634.17/2,715.70
  6. Step 6: Final answer
    x = 1,300.08

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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.