Home / 2,031.92-3,044.64-1,956

Finding the Fourth Proportional to 2,031.92, 3,044.64 and 1,956

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Solution

The fourth proportional to 2,031.92, 3,044.64 and 1,956 is: 2,930.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.92 : 3,044.64 = 1,956 : x
  2. Step 2: Convert to fraction form
    2,031.92/3,044.64 = 1,956/x
  3. Step 3: Cross multiply
    2,031.92x = 3,044.64 × 1,956
  4. Step 4: Simplify right side
    2,031.92x = 5,955,315.84
  5. Step 5: Solve for x
    x = 5,955,315.84/2,031.92
  6. Step 6: Final answer
    x = 2,930.88

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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.