Home / 3,106.26-4,659.38-914.94

Finding the Fourth Proportional to 3,106.26, 4,659.38 and 914.94

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Solution

The fourth proportional to 3,106.26, 4,659.38 and 914.94 is: 1,372.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.26 : 4,659.38 = 914.94 : x
  2. Step 2: Convert to fraction form
    3,106.26/4,659.38 = 914.94/x
  3. Step 3: Cross multiply
    3,106.26x = 4,659.38 × 914.94
  4. Step 4: Simplify right side
    3,106.26x = 4,263,053.14
  5. Step 5: Solve for x
    x = 4,263,053.14/3,106.26
  6. Step 6: Final answer
    x = 1,372.41

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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.