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Finding the Fourth Proportional to 3,214.53, 4,794.77 and 2,919.24

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Solution

The fourth proportional to 3,214.53, 4,794.77 and 2,919.24 is: 4,354.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.53 : 4,794.77 = 2,919.24 : x
  2. Step 2: Convert to fraction form
    3,214.53/4,794.77 = 2,919.24/x
  3. Step 3: Cross multiply
    3,214.53x = 4,794.77 × 2,919.24
  4. Step 4: Simplify right side
    3,214.53x = 13,997,091.67
  5. Step 5: Solve for x
    x = 13,997,091.67/3,214.53
  6. Step 6: Final answer
    x = 4,354.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.