Home / 1,584.92-2,371.44-1,311.14

Finding the Fourth Proportional to 1,584.92, 2,371.44 and 1,311.14

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Solution

The fourth proportional to 1,584.92, 2,371.44 and 1,311.14 is: 1,961.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584.92 : 2,371.44 = 1,311.14 : x
  2. Step 2: Convert to fraction form
    1,584.92/2,371.44 = 1,311.14/x
  3. Step 3: Cross multiply
    1,584.92x = 2,371.44 × 1,311.14
  4. Step 4: Simplify right side
    1,584.92x = 3,109,289.84
  5. Step 5: Solve for x
    x = 3,109,289.84/1,584.92
  6. Step 6: Final answer
    x = 1,961.80

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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.