Home / 4,736-7,103.52-2,138

Finding the Fourth Proportional to 4,736, 7,103.52 and 2,138

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Solution

The fourth proportional to 4,736, 7,103.52 and 2,138 is: 3,206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,736 : 7,103.52 = 2,138 : x
  2. Step 2: Convert to fraction form
    4,736/7,103.52 = 2,138/x
  3. Step 3: Cross multiply
    4,736x = 7,103.52 × 2,138
  4. Step 4: Simplify right side
    4,736x = 15,187,325.76
  5. Step 5: Solve for x
    x = 15,187,325.76/4,736
  6. Step 6: Final answer
    x = 3,206.78

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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.