Home / 2,031.78-3,045.36-798.57

Finding the Fourth Proportional to 2,031.78, 3,045.36 and 798.57

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Solution

The fourth proportional to 2,031.78, 3,045.36 and 798.57 is: 1,196.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.78 : 3,045.36 = 798.57 : x
  2. Step 2: Convert to fraction form
    2,031.78/3,045.36 = 798.57/x
  3. Step 3: Cross multiply
    2,031.78x = 3,045.36 × 798.57
  4. Step 4: Simplify right side
    2,031.78x = 2,431,933.14
  5. Step 5: Solve for x
    x = 2,431,933.14/2,031.78
  6. Step 6: Final answer
    x = 1,196.95

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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.