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Finding the Fourth Proportional to 2,908, 4,010.38 and 2,163.84

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Solution

The fourth proportional to 2,908, 4,010.38 and 2,163.84 is: 2,984.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,908 : 4,010.38 = 2,163.84 : x
  2. Step 2: Convert to fraction form
    2,908/4,010.38 = 2,163.84/x
  3. Step 3: Cross multiply
    2,908x = 4,010.38 × 2,163.84
  4. Step 4: Simplify right side
    2,908x = 8,677,820.66
  5. Step 5: Solve for x
    x = 8,677,820.66/2,908
  6. Step 6: Final answer
    x = 2,984.12

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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.