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Finding the Fourth Proportional to 3,186.54, 4,780.89 and 1,954.80

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Solution

The fourth proportional to 3,186.54, 4,780.89 and 1,954.80 is: 2,932.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.54 : 4,780.89 = 1,954.80 : x
  2. Step 2: Convert to fraction form
    3,186.54/4,780.89 = 1,954.80/x
  3. Step 3: Cross multiply
    3,186.54x = 4,780.89 × 1,954.80
  4. Step 4: Simplify right side
    3,186.54x = 9,345,683.77
  5. Step 5: Solve for x
    x = 9,345,683.77/3,186.54
  6. Step 6: Final answer
    x = 2,932.86

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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.