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Finding the Fourth Proportional to 3,188.77, 4,786.19 and 1,958.59

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Solution

The fourth proportional to 3,188.77, 4,786.19 and 1,958.59 is: 2,939.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.77 : 4,786.19 = 1,958.59 : x
  2. Step 2: Convert to fraction form
    3,188.77/4,786.19 = 1,958.59/x
  3. Step 3: Cross multiply
    3,188.77x = 4,786.19 × 1,958.59
  4. Step 4: Simplify right side
    3,188.77x = 9,374,160.48
  5. Step 5: Solve for x
    x = 9,374,160.48/3,188.77
  6. Step 6: Final answer
    x = 2,939.74

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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.