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Finding the Fourth Proportional to 2,108.79, 3,163.50 and 648.18

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Solution

The fourth proportional to 2,108.79, 3,163.50 and 648.18 is: 972.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.79 : 3,163.50 = 648.18 : x
  2. Step 2: Convert to fraction form
    2,108.79/3,163.50 = 648.18/x
  3. Step 3: Cross multiply
    2,108.79x = 3,163.50 × 648.18
  4. Step 4: Simplify right side
    2,108.79x = 2,050,517.43
  5. Step 5: Solve for x
    x = 2,050,517.43/2,108.79
  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.