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Finding the Fourth Proportional to 1,591.40, 2,383 and 1,361.76

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Solution

The fourth proportional to 1,591.40, 2,383 and 1,361.76 is: 2,039.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,591.40 : 2,383 = 1,361.76 : x
  2. Step 2: Convert to fraction form
    1,591.40/2,383 = 1,361.76/x
  3. Step 3: Cross multiply
    1,591.40x = 2,383 × 1,361.76
  4. Step 4: Simplify right side
    1,591.40x = 3,245,074.08
  5. Step 5: Solve for x
    x = 3,245,074.08/1,591.40
  6. Step 6: Final answer
    x = 2,039.13

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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.