Home / 2,946-4,067.28-2,017.20

Finding the Fourth Proportional to 2,946, 4,067.28 and 2,017.20

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Solution

The fourth proportional to 2,946, 4,067.28 and 2,017.20 is: 2,784.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946 : 4,067.28 = 2,017.20 : x
  2. Step 2: Convert to fraction form
    2,946/4,067.28 = 2,017.20/x
  3. Step 3: Cross multiply
    2,946x = 4,067.28 × 2,017.20
  4. Step 4: Simplify right side
    2,946x = 8,204,517.22
  5. Step 5: Solve for x
    x = 8,204,517.22/2,946
  6. Step 6: Final answer
    x = 2,784.97

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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.