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Finding the Fourth Proportional to 2,790, 4,186.44 and 1,422

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Solution

The fourth proportional to 2,790, 4,186.44 and 1,422 is: 2,133.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,790 : 4,186.44 = 1,422 : x
  2. Step 2: Convert to fraction form
    2,790/4,186.44 = 1,422/x
  3. Step 3: Cross multiply
    2,790x = 4,186.44 × 1,422
  4. Step 4: Simplify right side
    2,790x = 5,953,117.68
  5. Step 5: Solve for x
    x = 5,953,117.68/2,790
  6. Step 6: Final answer
    x = 2,133.73

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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.