Home / 2,427.68-3,640.70-946.60

Finding the Fourth Proportional to 2,427.68, 3,640.70 and 946.60

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Solution

The fourth proportional to 2,427.68, 3,640.70 and 946.60 is: 1,419.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,427.68 : 3,640.70 = 946.60 : x
  2. Step 2: Convert to fraction form
    2,427.68/3,640.70 = 946.60/x
  3. Step 3: Cross multiply
    2,427.68x = 3,640.70 × 946.60
  4. Step 4: Simplify right side
    2,427.68x = 3,446,286.62
  5. Step 5: Solve for x
    x = 3,446,286.62/2,427.68
  6. Step 6: Final answer
    x = 1,419.58

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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.