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Finding the Fourth Proportional to 2,951.02, 4,072.21 and 1,772.74

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Solution

The fourth proportional to 2,951.02, 4,072.21 and 1,772.74 is: 2,446.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,951.02 : 4,072.21 = 1,772.74 : x
  2. Step 2: Convert to fraction form
    2,951.02/4,072.21 = 1,772.74/x
  3. Step 3: Cross multiply
    2,951.02x = 4,072.21 × 1,772.74
  4. Step 4: Simplify right side
    2,951.02x = 7,218,969.56
  5. Step 5: Solve for x
    x = 7,218,969.56/2,951.02
  6. Step 6: Final answer
    x = 2,446.26

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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.