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Finding the Fourth Proportional to 1,509.71, 2,082.68 and 1,067.85

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Solution

The fourth proportional to 1,509.71, 2,082.68 and 1,067.85 is: 1,473.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.71 : 2,082.68 = 1,067.85 : x
  2. Step 2: Convert to fraction form
    1,509.71/2,082.68 = 1,067.85/x
  3. Step 3: Cross multiply
    1,509.71x = 2,082.68 × 1,067.85
  4. Step 4: Simplify right side
    1,509.71x = 2,223,992.51
  5. Step 5: Solve for x
    x = 2,223,992.51/1,509.71
  6. Step 6: Final answer
    x = 1,473.13

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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.