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Finding the Fourth Proportional to 4,922.82, 6,790.50 and 3,153.78

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Solution

The fourth proportional to 4,922.82, 6,790.50 and 3,153.78 is: 4,350.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.82 : 6,790.50 = 3,153.78 : x
  2. Step 2: Convert to fraction form
    4,922.82/6,790.50 = 3,153.78/x
  3. Step 3: Cross multiply
    4,922.82x = 6,790.50 × 3,153.78
  4. Step 4: Simplify right side
    4,922.82x = 21,415,743.09
  5. Step 5: Solve for x
    x = 21,415,743.09/4,922.82
  6. Step 6: Final answer
    x = 4,350.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.