Home / 3,138.19-4,706.68-946.41

Finding the Fourth Proportional to 3,138.19, 4,706.68 and 946.41

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Solution

The fourth proportional to 3,138.19, 4,706.68 and 946.41 is: 1,419.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.19 : 4,706.68 = 946.41 : x
  2. Step 2: Convert to fraction form
    3,138.19/4,706.68 = 946.41/x
  3. Step 3: Cross multiply
    3,138.19x = 4,706.68 × 946.41
  4. Step 4: Simplify right side
    3,138.19x = 4,454,446.68
  5. Step 5: Solve for x
    x = 4,454,446.68/3,138.19
  6. Step 6: Final answer
    x = 1,419.43

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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.