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Finding the Fourth Proportional to 2,108.75, 3,163.74 and 648.12

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Solution

The fourth proportional to 2,108.75, 3,163.74 and 648.12 is: 972.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.75 : 3,163.74 = 648.12 : x
  2. Step 2: Convert to fraction form
    2,108.75/3,163.74 = 648.12/x
  3. Step 3: Cross multiply
    2,108.75x = 3,163.74 × 648.12
  4. Step 4: Simplify right side
    2,108.75x = 2,050,478.45
  5. Step 5: Solve for x
    x = 2,050,478.45/2,108.75
  6. Step 6: Final answer
    x = 972.37

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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.