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Finding the Fourth Proportional to 6,783.12, 10,161 and 3,395.70

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Solution

The fourth proportional to 6,783.12, 10,161 and 3,395.70 is: 5,086.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.12 : 10,161 = 3,395.70 : x
  2. Step 2: Convert to fraction form
    6,783.12/10,161 = 3,395.70/x
  3. Step 3: Cross multiply
    6,783.12x = 10,161 × 3,395.70
  4. Step 4: Simplify right side
    6,783.12x = 34,503,707.70
  5. Step 5: Solve for x
    x = 34,503,707.70/6,783.12
  6. Step 6: Final answer
    x = 5,086.70

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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.