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Finding the Fourth Proportional to 3,994.36, 5,991.54 and 1,857

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Solution

The fourth proportional to 3,994.36, 5,991.54 and 1,857 is: 2,785.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994.36 : 5,991.54 = 1,857 : x
  2. Step 2: Convert to fraction form
    3,994.36/5,991.54 = 1,857/x
  3. Step 3: Cross multiply
    3,994.36x = 5,991.54 × 1,857
  4. Step 4: Simplify right side
    3,994.36x = 11,126,289.78
  5. Step 5: Solve for x
    x = 11,126,289.78/3,994.36
  6. Step 6: Final answer
    x = 2,785.50

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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.