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Finding the Fourth Proportional to 2,971.02, 4,099.77 and 1,644.78

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Solution

The fourth proportional to 2,971.02, 4,099.77 and 1,644.78 is: 2,269.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.02 : 4,099.77 = 1,644.78 : x
  2. Step 2: Convert to fraction form
    2,971.02/4,099.77 = 1,644.78/x
  3. Step 3: Cross multiply
    2,971.02x = 4,099.77 × 1,644.78
  4. Step 4: Simplify right side
    2,971.02x = 6,743,219.70
  5. Step 5: Solve for x
    x = 6,743,219.70/2,971.02
  6. Step 6: Final answer
    x = 2,269.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.