Home / 2,742.96-3,782.52-1,811.76

Finding the Fourth Proportional to 2,742.96, 3,782.52 and 1,811.76

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Solution

The fourth proportional to 2,742.96, 3,782.52 and 1,811.76 is: 2,498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.96 : 3,782.52 = 1,811.76 : x
  2. Step 2: Convert to fraction form
    2,742.96/3,782.52 = 1,811.76/x
  3. Step 3: Cross multiply
    2,742.96x = 3,782.52 × 1,811.76
  4. Step 4: Simplify right side
    2,742.96x = 6,853,018.44
  5. Step 5: Solve for x
    x = 6,853,018.44/2,742.96
  6. Step 6: Final answer
    x = 2,498.40

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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.