Home / 2,046.40-3,067.80-1,827.70

Finding the Fourth Proportional to 2,046.40, 3,067.80 and 1,827.70

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Solution

The fourth proportional to 2,046.40, 3,067.80 and 1,827.70 is: 2,739.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.40 : 3,067.80 = 1,827.70 : x
  2. Step 2: Convert to fraction form
    2,046.40/3,067.80 = 1,827.70/x
  3. Step 3: Cross multiply
    2,046.40x = 3,067.80 × 1,827.70
  4. Step 4: Simplify right side
    2,046.40x = 5,607,018.06
  5. Step 5: Solve for x
    x = 5,607,018.06/2,046.40
  6. Step 6: Final answer
    x = 2,739.94

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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.