Home / 2,137.52-2,949.86-1,206

Finding the Fourth Proportional to 2,137.52, 2,949.86 and 1,206

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Solution

The fourth proportional to 2,137.52, 2,949.86 and 1,206 is: 1,664.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.52 : 2,949.86 = 1,206 : x
  2. Step 2: Convert to fraction form
    2,137.52/2,949.86 = 1,206/x
  3. Step 3: Cross multiply
    2,137.52x = 2,949.86 × 1,206
  4. Step 4: Simplify right side
    2,137.52x = 3,557,531.16
  5. Step 5: Solve for x
    x = 3,557,531.16/2,137.52
  6. Step 6: Final answer
    x = 1,664.33

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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.