Home / 2,138.67-3,206.64-1,478.70

Finding the Fourth Proportional to 2,138.67, 3,206.64 and 1,478.70

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Solution

The fourth proportional to 2,138.67, 3,206.64 and 1,478.70 is: 2,217.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.67 : 3,206.64 = 1,478.70 : x
  2. Step 2: Convert to fraction form
    2,138.67/3,206.64 = 1,478.70/x
  3. Step 3: Cross multiply
    2,138.67x = 3,206.64 × 1,478.70
  4. Step 4: Simplify right side
    2,138.67x = 4,741,658.57
  5. Step 5: Solve for x
    x = 4,741,658.57/2,138.67
  6. Step 6: Final answer
    x = 2,217.11

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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.