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Finding the Fourth Proportional to 3,691.57, 5,533.71 and 1,717.81

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Solution

The fourth proportional to 3,691.57, 5,533.71 and 1,717.81 is: 2,575.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.57 : 5,533.71 = 1,717.81 : x
  2. Step 2: Convert to fraction form
    3,691.57/5,533.71 = 1,717.81/x
  3. Step 3: Cross multiply
    3,691.57x = 5,533.71 × 1,717.81
  4. Step 4: Simplify right side
    3,691.57x = 9,505,862.38
  5. Step 5: Solve for x
    x = 9,505,862.38/3,691.57
  6. Step 6: Final answer
    x = 2,575.02

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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.