Home / 3,450-5,175.81-1,141.50

Finding the Fourth Proportional to 3,450, 5,175.81 and 1,141.50

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Solution

The fourth proportional to 3,450, 5,175.81 and 1,141.50 is: 1,712.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450 : 5,175.81 = 1,141.50 : x
  2. Step 2: Convert to fraction form
    3,450/5,175.81 = 1,141.50/x
  3. Step 3: Cross multiply
    3,450x = 5,175.81 × 1,141.50
  4. Step 4: Simplify right side
    3,450x = 5,908,187.12
  5. Step 5: Solve for x
    x = 5,908,187.12/3,450
  6. Step 6: Final answer
    x = 1,712.52

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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.