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Finding the Fourth Proportional to 3,084.79, 4,619.78 and 1,764.54

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Solution

The fourth proportional to 3,084.79, 4,619.78 and 1,764.54 is: 2,642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.79 : 4,619.78 = 1,764.54 : x
  2. Step 2: Convert to fraction form
    3,084.79/4,619.78 = 1,764.54/x
  3. Step 3: Cross multiply
    3,084.79x = 4,619.78 × 1,764.54
  4. Step 4: Simplify right side
    3,084.79x = 8,151,789.33
  5. Step 5: Solve for x
    x = 8,151,789.33/3,084.79
  6. Step 6: Final answer
    x = 2,642.57

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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.