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Finding the Fourth Proportional to 2,108.89, 3,163.82 and 647.95

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Solution

The fourth proportional to 2,108.89, 3,163.82 and 647.95 is: 972.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.89 : 3,163.82 = 647.95 : x
  2. Step 2: Convert to fraction form
    2,108.89/3,163.82 = 647.95/x
  3. Step 3: Cross multiply
    2,108.89x = 3,163.82 × 647.95
  4. Step 4: Simplify right side
    2,108.89x = 2,049,997.17
  5. Step 5: Solve for x
    x = 2,049,997.17/2,108.89
  6. Step 6: Final answer
    x = 972.07

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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.