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Finding the Fourth Proportional to 2,891.97, 3,991.96 and 1,897.56

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Solution

The fourth proportional to 2,891.97, 3,991.96 and 1,897.56 is: 2,619.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.97 : 3,991.96 = 1,897.56 : x
  2. Step 2: Convert to fraction form
    2,891.97/3,991.96 = 1,897.56/x
  3. Step 3: Cross multiply
    2,891.97x = 3,991.96 × 1,897.56
  4. Step 4: Simplify right side
    2,891.97x = 7,574,997.49
  5. Step 5: Solve for x
    x = 7,574,997.49/2,891.97
  6. Step 6: Final answer
    x = 2,619.32

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1.5x scale

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.