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Finding the Fourth Proportional to 3,873.40, 5,805.78 and 3,005.56

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Solution

The fourth proportional to 3,873.40, 5,805.78 and 3,005.56 is: 4,504.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873.40 : 5,805.78 = 3,005.56 : x
  2. Step 2: Convert to fraction form
    3,873.40/5,805.78 = 3,005.56/x
  3. Step 3: Cross multiply
    3,873.40x = 5,805.78 × 3,005.56
  4. Step 4: Simplify right side
    3,873.40x = 17,449,620.14
  5. Step 5: Solve for x
    x = 17,449,620.14/3,873.40
  6. Step 6: Final answer
    x = 4,504.99

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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.