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Finding the Fourth Proportional to 7,790.85, 11,661.98 and 6,138.45

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Solution

The fourth proportional to 7,790.85, 11,661.98 and 6,138.45 is: 9,188.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790.85 : 11,661.98 = 6,138.45 : x
  2. Step 2: Convert to fraction form
    7,790.85/11,661.98 = 6,138.45/x
  3. Step 3: Cross multiply
    7,790.85x = 11,661.98 × 6,138.45
  4. Step 4: Simplify right side
    7,790.85x = 71,586,450.44
  5. Step 5: Solve for x
    x = 71,586,450.44/7,790.85
  6. Step 6: Final answer
    x = 9,188.53

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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.