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Finding the Fourth Proportional to 5,640.81, 7,783.78 and 3,282.50

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Solution

The fourth proportional to 5,640.81, 7,783.78 and 3,282.50 is: 4,529.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.81 : 7,783.78 = 3,282.50 : x
  2. Step 2: Convert to fraction form
    5,640.81/7,783.78 = 3,282.50/x
  3. Step 3: Cross multiply
    5,640.81x = 7,783.78 × 3,282.50
  4. Step 4: Simplify right side
    5,640.81x = 25,550,257.85
  5. Step 5: Solve for x
    x = 25,550,257.85/5,640.81
  6. Step 6: Final answer
    x = 4,529.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.