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Finding the Fourth Proportional to 2,170.97, 2,995.81 and 1,274.58

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Solution

The fourth proportional to 2,170.97, 2,995.81 and 1,274.58 is: 1,758.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170.97 : 2,995.81 = 1,274.58 : x
  2. Step 2: Convert to fraction form
    2,170.97/2,995.81 = 1,274.58/x
  3. Step 3: Cross multiply
    2,170.97x = 2,995.81 × 1,274.58
  4. Step 4: Simplify right side
    2,170.97x = 3,818,396.32
  5. Step 5: Solve for x
    x = 3,818,396.32/2,170.97
  6. Step 6: Final answer
    x = 1,758.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.