Home / 2,742.28-4,109.74-1,767.88

Finding the Fourth Proportional to 2,742.28, 4,109.74 and 1,767.88

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Solution

The fourth proportional to 2,742.28, 4,109.74 and 1,767.88 is: 2,649.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.28 : 4,109.74 = 1,767.88 : x
  2. Step 2: Convert to fraction form
    2,742.28/4,109.74 = 1,767.88/x
  3. Step 3: Cross multiply
    2,742.28x = 4,109.74 × 1,767.88
  4. Step 4: Simplify right side
    2,742.28x = 7,265,527.15
  5. Step 5: Solve for x
    x = 7,265,527.15/2,742.28
  6. Step 6: Final answer
    x = 2,649.45

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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.