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Finding the Fourth Proportional to 2,666.14, 4,000.04 and 911.19

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Solution

The fourth proportional to 2,666.14, 4,000.04 and 911.19 is: 1,367.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,666.14 : 4,000.04 = 911.19 : x
  2. Step 2: Convert to fraction form
    2,666.14/4,000.04 = 911.19/x
  3. Step 3: Cross multiply
    2,666.14x = 4,000.04 × 911.19
  4. Step 4: Simplify right side
    2,666.14x = 3,644,796.45
  5. Step 5: Solve for x
    x = 3,644,796.45/2,666.14
  6. Step 6: Final answer
    x = 1,367.07

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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.