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Finding the Fourth Proportional to 5,640.05, 7,783.70 and 3,282

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Solution

The fourth proportional to 5,640.05, 7,783.70 and 3,282 is: 4,529.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.05 : 7,783.70 = 3,282 : x
  2. Step 2: Convert to fraction form
    5,640.05/7,783.70 = 3,282/x
  3. Step 3: Cross multiply
    5,640.05x = 7,783.70 × 3,282
  4. Step 4: Simplify right side
    5,640.05x = 25,546,086.99
  5. Step 5: Solve for x
    x = 25,546,086.99/5,640.05
  6. Step 6: Final answer
    x = 4,529.41

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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.