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Finding the Fourth Proportional to 6,855.18, 10,285.89 and 6,744.62

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Solution

The fourth proportional to 6,855.18, 10,285.89 and 6,744.62 is: 10,119.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,855.18 : 10,285.89 = 6,744.62 : x
  2. Step 2: Convert to fraction form
    6,855.18/10,285.89 = 6,744.62/x
  3. Step 3: Cross multiply
    6,855.18x = 10,285.89 × 6,744.62
  4. Step 4: Simplify right side
    6,855.18x = 69,374,361.98
  5. Step 5: Solve for x
    x = 69,374,361.98/6,855.18
  6. Step 6: Final answer
    x = 10,119.99

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1.5x scale

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.