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Finding the Fourth Proportional to 2,740, 3,781.20 and 1,498

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Solution

The fourth proportional to 2,740, 3,781.20 and 1,498 is: 2,067.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,740 : 3,781.20 = 1,498 : x
  2. Step 2: Convert to fraction form
    2,740/3,781.20 = 1,498/x
  3. Step 3: Cross multiply
    2,740x = 3,781.20 × 1,498
  4. Step 4: Simplify right side
    2,740x = 5,664,237.60
  5. Step 5: Solve for x
    x = 5,664,237.60/2,740
  6. Step 6: Final answer
    x = 2,067.24

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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.