Home / 3,277-4,917.68-1,545.76

Finding the Fourth Proportional to 3,277, 4,917.68 and 1,545.76

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Solution

The fourth proportional to 3,277, 4,917.68 and 1,545.76 is: 2,319.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277 : 4,917.68 = 1,545.76 : x
  2. Step 2: Convert to fraction form
    3,277/4,917.68 = 1,545.76/x
  3. Step 3: Cross multiply
    3,277x = 4,917.68 × 1,545.76
  4. Step 4: Simplify right side
    3,277x = 7,601,553.04
  5. Step 5: Solve for x
    x = 7,601,553.04/3,277
  6. Step 6: Final answer
    x = 2,319.67

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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.