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Finding the Fourth Proportional to 3,591, 5,381.91 and 1,717.74

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Solution

The fourth proportional to 3,591, 5,381.91 and 1,717.74 is: 2,574.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,591 : 5,381.91 = 1,717.74 : x
  2. Step 2: Convert to fraction form
    3,591/5,381.91 = 1,717.74/x
  3. Step 3: Cross multiply
    3,591x = 5,381.91 × 1,717.74
  4. Step 4: Simplify right side
    3,591x = 9,244,722.08
  5. Step 5: Solve for x
    x = 9,244,722.08/3,591
  6. Step 6: Final answer
    x = 2,574.41

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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.