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Finding the Fourth Proportional to 7,803.45, 11,694.96 and 6,813.77

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Solution

The fourth proportional to 7,803.45, 11,694.96 and 6,813.77 is: 10,211.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,803.45 : 11,694.96 = 6,813.77 : x
  2. Step 2: Convert to fraction form
    7,803.45/11,694.96 = 6,813.77/x
  3. Step 3: Cross multiply
    7,803.45x = 11,694.96 × 6,813.77
  4. Step 4: Simplify right side
    7,803.45x = 79,686,709.12
  5. Step 5: Solve for x
    x = 79,686,709.12/7,803.45
  6. Step 6: Final answer
    x = 10,211.73

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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.