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Finding the Fourth Proportional to 2,919, 4,378.46 and 727.72

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Solution

The fourth proportional to 2,919, 4,378.46 and 727.72 is: 1,091.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919 : 4,378.46 = 727.72 : x
  2. Step 2: Convert to fraction form
    2,919/4,378.46 = 727.72/x
  3. Step 3: Cross multiply
    2,919x = 4,378.46 × 727.72
  4. Step 4: Simplify right side
    2,919x = 3,186,292.91
  5. Step 5: Solve for x
    x = 3,186,292.91/2,919
  6. Step 6: Final answer
    x = 1,091.57

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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.