Home / 3,137.43-4,705.79-829.11

Finding the Fourth Proportional to 3,137.43, 4,705.79 and 829.11

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Solution

The fourth proportional to 3,137.43, 4,705.79 and 829.11 is: 1,243.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.43 : 4,705.79 = 829.11 : x
  2. Step 2: Convert to fraction form
    3,137.43/4,705.79 = 829.11/x
  3. Step 3: Cross multiply
    3,137.43x = 4,705.79 × 829.11
  4. Step 4: Simplify right side
    3,137.43x = 3,901,613.40
  5. Step 5: Solve for x
    x = 3,901,613.40/3,137.43
  6. Step 6: Final answer
    x = 1,243.57

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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.