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Finding the Fourth Proportional to 2,666.80, 4,000.55 and 818.04

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Solution

The fourth proportional to 2,666.80, 4,000.55 and 818.04 is: 1,227.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.80 : 4,000.55 = 818.04 : x
  2. Step 2: Convert to fraction form
    2,666.80/4,000.55 = 818.04/x
  3. Step 3: Cross multiply
    2,666.80x = 4,000.55 × 818.04
  4. Step 4: Simplify right side
    2,666.80x = 3,272,609.92
  5. Step 5: Solve for x
    x = 3,272,609.92/2,666.80
  6. Step 6: Final answer
    x = 1,227.17

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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.