Home / 1,107.72-1,659.66-1,067.40

Finding the Fourth Proportional to 1,107.72, 1,659.66 and 1,067.40

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Solution

The fourth proportional to 1,107.72, 1,659.66 and 1,067.40 is: 1,599.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107.72 : 1,659.66 = 1,067.40 : x
  2. Step 2: Convert to fraction form
    1,107.72/1,659.66 = 1,067.40/x
  3. Step 3: Cross multiply
    1,107.72x = 1,659.66 × 1,067.40
  4. Step 4: Simplify right side
    1,107.72x = 1,771,521.08
  5. Step 5: Solve for x
    x = 1,771,521.08/1,107.72
  6. Step 6: Final answer
    x = 1,599.25

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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.