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Finding the Fourth Proportional to 4,550.62, 6,823 and 1,919.83

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Solution

The fourth proportional to 4,550.62, 6,823 and 1,919.83 is: 2,878.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,550.62 : 6,823 = 1,919.83 : x
  2. Step 2: Convert to fraction form
    4,550.62/6,823 = 1,919.83/x
  3. Step 3: Cross multiply
    4,550.62x = 6,823 × 1,919.83
  4. Step 4: Simplify right side
    4,550.62x = 13,099,000.09
  5. Step 5: Solve for x
    x = 13,099,000.09/4,550.62
  6. Step 6: Final answer
    x = 2,878.51

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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.