Home / 2,163.48-2,984-1,603.97

Finding the Fourth Proportional to 2,163.48, 2,984 and 1,603.97

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Solution

The fourth proportional to 2,163.48, 2,984 and 1,603.97 is: 2,212.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.48 : 2,984 = 1,603.97 : x
  2. Step 2: Convert to fraction form
    2,163.48/2,984 = 1,603.97/x
  3. Step 3: Cross multiply
    2,163.48x = 2,984 × 1,603.97
  4. Step 4: Simplify right side
    2,163.48x = 4,786,246.48
  5. Step 5: Solve for x
    x = 4,786,246.48/2,163.48
  6. Step 6: Final answer
    x = 2,212.29

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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.