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Finding the Fourth Proportional to 2,666.88, 4,000.38 and 817.96

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Solution

The fourth proportional to 2,666.88, 4,000.38 and 817.96 is: 1,226.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.88 : 4,000.38 = 817.96 : x
  2. Step 2: Convert to fraction form
    2,666.88/4,000.38 = 817.96/x
  3. Step 3: Cross multiply
    2,666.88x = 4,000.38 × 817.96
  4. Step 4: Simplify right side
    2,666.88x = 3,272,137.87
  5. Step 5: Solve for x
    x = 3,272,137.87/2,666.88
  6. Step 6: Final answer
    x = 1,226.95

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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.