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Finding the Fourth Proportional to 1,991.60, 2,747 and 1,618.56

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Solution

The fourth proportional to 1,991.60, 2,747 and 1,618.56 is: 2,232.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.60 : 2,747 = 1,618.56 : x
  2. Step 2: Convert to fraction form
    1,991.60/2,747 = 1,618.56/x
  3. Step 3: Cross multiply
    1,991.60x = 2,747 × 1,618.56
  4. Step 4: Simplify right side
    1,991.60x = 4,446,184.32
  5. Step 5: Solve for x
    x = 4,446,184.32/1,991.60
  6. Step 6: Final answer
    x = 2,232.47

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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.