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Finding the Fourth Proportional to 2,660.08, 3,991.20 and 1,274.08

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Solution

The fourth proportional to 2,660.08, 3,991.20 and 1,274.08 is: 1,911.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660.08 : 3,991.20 = 1,274.08 : x
  2. Step 2: Convert to fraction form
    2,660.08/3,991.20 = 1,274.08/x
  3. Step 3: Cross multiply
    2,660.08x = 3,991.20 × 1,274.08
  4. Step 4: Simplify right side
    2,660.08x = 5,085,108.10
  5. Step 5: Solve for x
    x = 5,085,108.10/2,660.08
  6. Step 6: Final answer
    x = 1,911.64

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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.