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Finding the Fourth Proportional to 2,661.62, 3,991.29 and 1,274.63

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Solution

The fourth proportional to 2,661.62, 3,991.29 and 1,274.63 is: 1,911.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.62 : 3,991.29 = 1,274.63 : x
  2. Step 2: Convert to fraction form
    2,661.62/3,991.29 = 1,274.63/x
  3. Step 3: Cross multiply
    2,661.62x = 3,991.29 × 1,274.63
  4. Step 4: Simplify right side
    2,661.62x = 5,087,398.02
  5. Step 5: Solve for x
    x = 5,087,398.02/2,661.62
  6. Step 6: Final answer
    x = 1,911.40

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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.