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Finding the Fourth Proportional to 2,111.11, 3,166.67 and 650.27

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Solution

The fourth proportional to 2,111.11, 3,166.67 and 650.27 is: 975.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.11 : 3,166.67 = 650.27 : x
  2. Step 2: Convert to fraction form
    2,111.11/3,166.67 = 650.27/x
  3. Step 3: Cross multiply
    2,111.11x = 3,166.67 × 650.27
  4. Step 4: Simplify right side
    2,111.11x = 2,059,190.50
  5. Step 5: Solve for x
    x = 2,059,190.50/2,111.11
  6. Step 6: Final answer
    x = 975.41

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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.