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Finding the Fourth Proportional to 3,389.78, 5,083.76 and 1,198.22

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Solution

The fourth proportional to 3,389.78, 5,083.76 and 1,198.22 is: 1,797.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,389.78 : 5,083.76 = 1,198.22 : x
  2. Step 2: Convert to fraction form
    3,389.78/5,083.76 = 1,198.22/x
  3. Step 3: Cross multiply
    3,389.78x = 5,083.76 × 1,198.22
  4. Step 4: Simplify right side
    3,389.78x = 6,091,462.91
  5. Step 5: Solve for x
    x = 6,091,462.91/3,389.78
  6. Step 6: Final answer
    x = 1,797.01

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1.5x scale

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.