Home / 2,764.32-3,813.84-1,584.54

Finding the Fourth Proportional to 2,764.32, 3,813.84 and 1,584.54

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Solution

The fourth proportional to 2,764.32, 3,813.84 and 1,584.54 is: 2,186.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.32 : 3,813.84 = 1,584.54 : x
  2. Step 2: Convert to fraction form
    2,764.32/3,813.84 = 1,584.54/x
  3. Step 3: Cross multiply
    2,764.32x = 3,813.84 × 1,584.54
  4. Step 4: Simplify right side
    2,764.32x = 6,043,182.03
  5. Step 5: Solve for x
    x = 6,043,182.03/2,764.32
  6. Step 6: Final answer
    x = 2,186.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.