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Finding the Fourth Proportional to 4,872.79, 7,305.09 and 1,949.50

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Solution

The fourth proportional to 4,872.79, 7,305.09 and 1,949.50 is: 2,922.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.79 : 7,305.09 = 1,949.50 : x
  2. Step 2: Convert to fraction form
    4,872.79/7,305.09 = 1,949.50/x
  3. Step 3: Cross multiply
    4,872.79x = 7,305.09 × 1,949.50
  4. Step 4: Simplify right side
    4,872.79x = 14,241,274.78
  5. Step 5: Solve for x
    x = 14,241,274.78/4,872.79
  6. Step 6: Final answer
    x = 2,922.61

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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.