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Finding the Fourth Proportional to 2,108.67, 3,163.01 and 647.75

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Solution

The fourth proportional to 2,108.67, 3,163.01 and 647.75 is: 971.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.67 : 3,163.01 = 647.75 : x
  2. Step 2: Convert to fraction form
    2,108.67/3,163.01 = 647.75/x
  3. Step 3: Cross multiply
    2,108.67x = 3,163.01 × 647.75
  4. Step 4: Simplify right side
    2,108.67x = 2,048,839.73
  5. Step 5: Solve for x
    x = 2,048,839.73/2,108.67
  6. Step 6: Final answer
    x = 971.63

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1.5x scale

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.