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Finding the Fourth Proportional to 2,108.86, 3,163.74 and 647.97

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Solution

The fourth proportional to 2,108.86, 3,163.74 and 647.97 is: 972.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.86 : 3,163.74 = 647.97 : x
  2. Step 2: Convert to fraction form
    2,108.86/3,163.74 = 647.97/x
  3. Step 3: Cross multiply
    2,108.86x = 3,163.74 × 647.97
  4. Step 4: Simplify right side
    2,108.86x = 2,050,008.61
  5. Step 5: Solve for x
    x = 2,050,008.61/2,108.86
  6. Step 6: Final answer
    x = 972.09

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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.