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Finding the Fourth Proportional to 2,111.45, 3,166.94 and 650.44

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Solution

The fourth proportional to 2,111.45, 3,166.94 and 650.44 is: 975.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,111.45 : 3,166.94 = 650.44 : x
  2. Step 2: Convert to fraction form
    2,111.45/3,166.94 = 650.44/x
  3. Step 3: Cross multiply
    2,111.45x = 3,166.94 × 650.44
  4. Step 4: Simplify right side
    2,111.45x = 2,059,898.16
  5. Step 5: Solve for x
    x = 2,059,898.16/2,111.45
  6. Step 6: Final answer
    x = 975.59

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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.