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Finding the Fourth Proportional to 2,742.75, 4,114.29 and 1,338.48

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Solution

The fourth proportional to 2,742.75, 4,114.29 and 1,338.48 is: 2,007.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.75 : 4,114.29 = 1,338.48 : x
  2. Step 2: Convert to fraction form
    2,742.75/4,114.29 = 1,338.48/x
  3. Step 3: Cross multiply
    2,742.75x = 4,114.29 × 1,338.48
  4. Step 4: Simplify right side
    2,742.75x = 5,506,894.88
  5. Step 5: Solve for x
    x = 5,506,894.88/2,742.75
  6. Step 6: Final answer
    x = 2,007.80

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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.