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Finding the Fourth Proportional to 2,072.46, 3,108.63 and 611.64

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Solution

The fourth proportional to 2,072.46, 3,108.63 and 611.64 is: 917.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072.46 : 3,108.63 = 611.64 : x
  2. Step 2: Convert to fraction form
    2,072.46/3,108.63 = 611.64/x
  3. Step 3: Cross multiply
    2,072.46x = 3,108.63 × 611.64
  4. Step 4: Simplify right side
    2,072.46x = 1,901,362.45
  5. Step 5: Solve for x
    x = 1,901,362.45/2,072.46
  6. Step 6: Final answer
    x = 917.44

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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.