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Finding the Fourth Proportional to 4,768.84, 7,153.26 and 2,819.71

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Solution

The fourth proportional to 4,768.84, 7,153.26 and 2,819.71 is: 4,229.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.84 : 7,153.26 = 2,819.71 : x
  2. Step 2: Convert to fraction form
    4,768.84/7,153.26 = 2,819.71/x
  3. Step 3: Cross multiply
    4,768.84x = 7,153.26 × 2,819.71
  4. Step 4: Simplify right side
    4,768.84x = 20,170,118.75
  5. Step 5: Solve for x
    x = 20,170,118.75/4,768.84
  6. Step 6: Final answer
    x = 4,229.57

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1.5x scale

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.