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Finding the Fourth Proportional to 2,898.75, 4,351.71 and 2,745.66

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Solution

The fourth proportional to 2,898.75, 4,351.71 and 2,745.66 is: 4,121.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.75 : 4,351.71 = 2,745.66 : x
  2. Step 2: Convert to fraction form
    2,898.75/4,351.71 = 2,745.66/x
  3. Step 3: Cross multiply
    2,898.75x = 4,351.71 × 2,745.66
  4. Step 4: Simplify right side
    2,898.75x = 11,948,316.08
  5. Step 5: Solve for x
    x = 11,948,316.08/2,898.75
  6. Step 6: Final answer
    x = 4,121.89

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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.