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Finding the Fourth Proportional to 1,721.64, 2,591.84 and 1,568.55

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Solution

The fourth proportional to 1,721.64, 2,591.84 and 1,568.55 is: 2,361.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.64 : 2,591.84 = 1,568.55 : x
  2. Step 2: Convert to fraction form
    1,721.64/2,591.84 = 1,568.55/x
  3. Step 3: Cross multiply
    1,721.64x = 2,591.84 × 1,568.55
  4. Step 4: Simplify right side
    1,721.64x = 4,065,435.45
  5. Step 5: Solve for x
    x = 4,065,435.45/1,721.64
  6. Step 6: Final answer
    x = 2,361.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.