Home / 2,942.78-4,031.62-2,832

Finding the Fourth Proportional to 2,942.78, 4,031.62 and 2,832

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Solution

The fourth proportional to 2,942.78, 4,031.62 and 2,832 is: 3,879.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942.78 : 4,031.62 = 2,832 : x
  2. Step 2: Convert to fraction form
    2,942.78/4,031.62 = 2,832/x
  3. Step 3: Cross multiply
    2,942.78x = 4,031.62 × 2,832
  4. Step 4: Simplify right side
    2,942.78x = 11,417,547.84
  5. Step 5: Solve for x
    x = 11,417,547.84/2,942.78
  6. Step 6: Final answer
    x = 3,879.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.