Home / 2,546.80-3,814-1,764.72

Finding the Fourth Proportional to 2,546.80, 3,814 and 1,764.72

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Solution

The fourth proportional to 2,546.80, 3,814 and 1,764.72 is: 2,642.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.80 : 3,814 = 1,764.72 : x
  2. Step 2: Convert to fraction form
    2,546.80/3,814 = 1,764.72/x
  3. Step 3: Cross multiply
    2,546.80x = 3,814 × 1,764.72
  4. Step 4: Simplify right side
    2,546.80x = 6,730,642.08
  5. Step 5: Solve for x
    x = 6,730,642.08/2,546.80
  6. Step 6: Final answer
    x = 2,642.78

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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.