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Finding the Fourth Proportional to 3,086, 4,256.68 and 2,079.44

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Solution

The fourth proportional to 3,086, 4,256.68 and 2,079.44 is: 2,868.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086 : 4,256.68 = 2,079.44 : x
  2. Step 2: Convert to fraction form
    3,086/4,256.68 = 2,079.44/x
  3. Step 3: Cross multiply
    3,086x = 4,256.68 × 2,079.44
  4. Step 4: Simplify right side
    3,086x = 8,851,510.66
  5. Step 5: Solve for x
    x = 8,851,510.66/3,086
  6. Step 6: Final answer
    x = 2,868.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.