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Finding the Fourth Proportional to 2,666.43, 4,000.29 and 817.54

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Solution

The fourth proportional to 2,666.43, 4,000.29 and 817.54 is: 1,226.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.43 : 4,000.29 = 817.54 : x
  2. Step 2: Convert to fraction form
    2,666.43/4,000.29 = 817.54/x
  3. Step 3: Cross multiply
    2,666.43x = 4,000.29 × 817.54
  4. Step 4: Simplify right side
    2,666.43x = 3,270,397.09
  5. Step 5: Solve for x
    x = 3,270,397.09/2,666.43
  6. Step 6: Final answer
    x = 1,226.51

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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.