Home / 3,751-5,626.78-1,442.50

Finding the Fourth Proportional to 3,751, 5,626.78 and 1,442.50

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Solution

The fourth proportional to 3,751, 5,626.78 and 1,442.50 is: 2,163.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751 : 5,626.78 = 1,442.50 : x
  2. Step 2: Convert to fraction form
    3,751/5,626.78 = 1,442.50/x
  3. Step 3: Cross multiply
    3,751x = 5,626.78 × 1,442.50
  4. Step 4: Simplify right side
    3,751x = 8,116,630.15
  5. Step 5: Solve for x
    x = 8,116,630.15/3,751
  6. Step 6: Final answer
    x = 2,163.86

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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.