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Finding the Fourth Proportional to 5,640.06, 7,783.38 and 3,282.15

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Solution

The fourth proportional to 5,640.06, 7,783.38 and 3,282.15 is: 4,529.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.06 : 7,783.38 = 3,282.15 : x
  2. Step 2: Convert to fraction form
    5,640.06/7,783.38 = 3,282.15/x
  3. Step 3: Cross multiply
    5,640.06x = 7,783.38 × 3,282.15
  4. Step 4: Simplify right side
    5,640.06x = 25,546,220.67
  5. Step 5: Solve for x
    x = 25,546,220.67/5,640.06
  6. Step 6: Final answer
    x = 4,529.42

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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.