Home / 2,122.40-3,181.16-1,146.46

Finding the Fourth Proportional to 2,122.40, 3,181.16 and 1,146.46

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Solution

The fourth proportional to 2,122.40, 3,181.16 and 1,146.46 is: 1,718.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,122.40 : 3,181.16 = 1,146.46 : x
  2. Step 2: Convert to fraction form
    2,122.40/3,181.16 = 1,146.46/x
  3. Step 3: Cross multiply
    2,122.40x = 3,181.16 × 1,146.46
  4. Step 4: Simplify right side
    2,122.40x = 3,647,072.69
  5. Step 5: Solve for x
    x = 3,647,072.69/2,122.40
  6. Step 6: Final answer
    x = 1,718.37

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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.