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Finding the Fourth Proportional to 2,665.91, 3,999.27 and 1,278.99

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Solution

The fourth proportional to 2,665.91, 3,999.27 and 1,278.99 is: 1,918.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.91 : 3,999.27 = 1,278.99 : x
  2. Step 2: Convert to fraction form
    2,665.91/3,999.27 = 1,278.99/x
  3. Step 3: Cross multiply
    2,665.91x = 3,999.27 × 1,278.99
  4. Step 4: Simplify right side
    2,665.91x = 5,115,031.13
  5. Step 5: Solve for x
    x = 5,115,031.13/2,665.91
  6. Step 6: Final answer
    x = 1,918.68

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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.