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Finding the Fourth Proportional to 2,666.33, 3,998.19 and 816.95

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Solution

The fourth proportional to 2,666.33, 3,998.19 and 816.95 is: 1,225.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.33 : 3,998.19 = 816.95 : x
  2. Step 2: Convert to fraction form
    2,666.33/3,998.19 = 816.95/x
  3. Step 3: Cross multiply
    2,666.33x = 3,998.19 × 816.95
  4. Step 4: Simplify right side
    2,666.33x = 3,266,321.32
  5. Step 5: Solve for x
    x = 3,266,321.32/2,666.33
  6. Step 6: Final answer
    x = 1,225.03

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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.