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Finding the Fourth Proportional to 2,569.06, 3,850.50 and 1,087.72

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Solution

The fourth proportional to 2,569.06, 3,850.50 and 1,087.72 is: 1,630.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.06 : 3,850.50 = 1,087.72 : x
  2. Step 2: Convert to fraction form
    2,569.06/3,850.50 = 1,087.72/x
  3. Step 3: Cross multiply
    2,569.06x = 3,850.50 × 1,087.72
  4. Step 4: Simplify right side
    2,569.06x = 4,188,265.86
  5. Step 5: Solve for x
    x = 4,188,265.86/2,569.06
  6. Step 6: Final answer
    x = 1,630.27

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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.