Home / 2,742.81-3,784.86-1,680.44

Finding the Fourth Proportional to 2,742.81, 3,784.86 and 1,680.44

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Solution

The fourth proportional to 2,742.81, 3,784.86 and 1,680.44 is: 2,318.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.81 : 3,784.86 = 1,680.44 : x
  2. Step 2: Convert to fraction form
    2,742.81/3,784.86 = 1,680.44/x
  3. Step 3: Cross multiply
    2,742.81x = 3,784.86 × 1,680.44
  4. Step 4: Simplify right side
    2,742.81x = 6,360,211.21
  5. Step 5: Solve for x
    x = 6,360,211.21/2,742.81
  6. Step 6: Final answer
    x = 2,318.87

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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.