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Finding the Fourth Proportional to 3,469.74, 5,206.02 and 1,827.72

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Solution

The fourth proportional to 3,469.74, 5,206.02 and 1,827.72 is: 2,742.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.74 : 5,206.02 = 1,827.72 : x
  2. Step 2: Convert to fraction form
    3,469.74/5,206.02 = 1,827.72/x
  3. Step 3: Cross multiply
    3,469.74x = 5,206.02 × 1,827.72
  4. Step 4: Simplify right side
    3,469.74x = 9,515,146.87
  5. Step 5: Solve for x
    x = 9,515,146.87/3,469.74
  6. Step 6: Final answer
    x = 2,742.32

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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.