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Finding the Fourth Proportional to 2,645.99, 3,962.28 and 1,591.17

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Solution

The fourth proportional to 2,645.99, 3,962.28 and 1,591.17 is: 2,382.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,645.99 : 3,962.28 = 1,591.17 : x
  2. Step 2: Convert to fraction form
    2,645.99/3,962.28 = 1,591.17/x
  3. Step 3: Cross multiply
    2,645.99x = 3,962.28 × 1,591.17
  4. Step 4: Simplify right side
    2,645.99x = 6,304,661.07
  5. Step 5: Solve for x
    x = 6,304,661.07/2,645.99
  6. Step 6: Final answer
    x = 2,382.73

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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.