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Finding the Fourth Proportional to 3,016.80, 4,524.81 and 936.75

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Solution

The fourth proportional to 3,016.80, 4,524.81 and 936.75 is: 1,405.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,016.80 : 4,524.81 = 936.75 : x
  2. Step 2: Convert to fraction form
    3,016.80/4,524.81 = 936.75/x
  3. Step 3: Cross multiply
    3,016.80x = 4,524.81 × 936.75
  4. Step 4: Simplify right side
    3,016.80x = 4,238,615.77
  5. Step 5: Solve for x
    x = 4,238,615.77/3,016.80
  6. Step 6: Final answer
    x = 1,405.00

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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.