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Finding the Fourth Proportional to 2,108.84, 3,163.16 and 648

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Solution

The fourth proportional to 2,108.84, 3,163.16 and 648 is: 971.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.84 : 3,163.16 = 648 : x
  2. Step 2: Convert to fraction form
    2,108.84/3,163.16 = 648/x
  3. Step 3: Cross multiply
    2,108.84x = 3,163.16 × 648
  4. Step 4: Simplify right side
    2,108.84x = 2,049,724.44
  5. Step 5: Solve for x
    x = 2,049,724.44/2,108.84
  6. Step 6: Final answer
    x = 971.97

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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.