Home / 1,942.12-2,680.14-1,057.94

Finding the Fourth Proportional to 1,942.12, 2,680.14 and 1,057.94

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Solution

The fourth proportional to 1,942.12, 2,680.14 and 1,057.94 is: 1,459.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.12 : 2,680.14 = 1,057.94 : x
  2. Step 2: Convert to fraction form
    1,942.12/2,680.14 = 1,057.94/x
  3. Step 3: Cross multiply
    1,942.12x = 2,680.14 × 1,057.94
  4. Step 4: Simplify right side
    1,942.12x = 2,835,427.31
  5. Step 5: Solve for x
    x = 2,835,427.31/1,942.12
  6. Step 6: Final answer
    x = 1,459.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.