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Finding the Fourth Proportional to 3,046.84, 4,561 and 1,951.98

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Solution

The fourth proportional to 3,046.84, 4,561 and 1,951.98 is: 2,922.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046.84 : 4,561 = 1,951.98 : x
  2. Step 2: Convert to fraction form
    3,046.84/4,561 = 1,951.98/x
  3. Step 3: Cross multiply
    3,046.84x = 4,561 × 1,951.98
  4. Step 4: Simplify right side
    3,046.84x = 8,902,980.78
  5. Step 5: Solve for x
    x = 8,902,980.78/3,046.84
  6. Step 6: Final answer
    x = 2,922.04

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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.