Home / 2,742.90-4,114.33-1,099.42

Finding the Fourth Proportional to 2,742.90, 4,114.33 and 1,099.42

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Solution

The fourth proportional to 2,742.90, 4,114.33 and 1,099.42 is: 1,649.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.90 : 4,114.33 = 1,099.42 : x
  2. Step 2: Convert to fraction form
    2,742.90/4,114.33 = 1,099.42/x
  3. Step 3: Cross multiply
    2,742.90x = 4,114.33 × 1,099.42
  4. Step 4: Simplify right side
    2,742.90x = 4,523,391.44
  5. Step 5: Solve for x
    x = 4,523,391.44/2,742.90
  6. Step 6: Final answer
    x = 1,649.13

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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.