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Finding the Fourth Proportional to 9,965.81, 13,759.43 and 6,194.61

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Solution

The fourth proportional to 9,965.81, 13,759.43 and 6,194.61 is: 8,552.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.81 : 13,759.43 = 6,194.61 : x
  2. Step 2: Convert to fraction form
    9,965.81/13,759.43 = 6,194.61/x
  3. Step 3: Cross multiply
    9,965.81x = 13,759.43 × 6,194.61
  4. Step 4: Simplify right side
    9,965.81x = 85,234,271.70
  5. Step 5: Solve for x
    x = 85,234,271.70/9,965.81
  6. Step 6: Final answer
    x = 8,552.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.