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Finding the Fourth Proportional to 6,761.85, 10,142.79 and 2,081.67

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Solution

The fourth proportional to 6,761.85, 10,142.79 and 2,081.67 is: 3,122.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,761.85 : 10,142.79 = 2,081.67 : x
  2. Step 2: Convert to fraction form
    6,761.85/10,142.79 = 2,081.67/x
  3. Step 3: Cross multiply
    6,761.85x = 10,142.79 × 2,081.67
  4. Step 4: Simplify right side
    6,761.85x = 21,113,895.82
  5. Step 5: Solve for x
    x = 21,113,895.82/6,761.85
  6. Step 6: Final answer
    x = 3,122.50

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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.