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Finding the Fourth Proportional to 2,815, 4,222.42 and 866.92

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Solution

The fourth proportional to 2,815, 4,222.42 and 866.92 is: 1,300.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,815 : 4,222.42 = 866.92 : x
  2. Step 2: Convert to fraction form
    2,815/4,222.42 = 866.92/x
  3. Step 3: Cross multiply
    2,815x = 4,222.42 × 866.92
  4. Step 4: Simplify right side
    2,815x = 3,660,500.35
  5. Step 5: Solve for x
    x = 3,660,500.35/2,815
  6. Step 6: Final answer
    x = 1,300.36

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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.