Home / 2,678.35-4,016.81-946.75

Finding the Fourth Proportional to 2,678.35, 4,016.81 and 946.75

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Solution

The fourth proportional to 2,678.35, 4,016.81 and 946.75 is: 1,419.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,678.35 : 4,016.81 = 946.75 : x
  2. Step 2: Convert to fraction form
    2,678.35/4,016.81 = 946.75/x
  3. Step 3: Cross multiply
    2,678.35x = 4,016.81 × 946.75
  4. Step 4: Simplify right side
    2,678.35x = 3,802,910.13
  5. Step 5: Solve for x
    x = 3,802,910.13/2,678.35
  6. Step 6: Final answer
    x = 1,419.87

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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.