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Finding the Fourth Proportional to 6,323, 9,485.40 and 2,163.38

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Solution

The fourth proportional to 6,323, 9,485.40 and 2,163.38 is: 3,245.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323 : 9,485.40 = 2,163.38 : x
  2. Step 2: Convert to fraction form
    6,323/9,485.40 = 2,163.38/x
  3. Step 3: Cross multiply
    6,323x = 9,485.40 × 2,163.38
  4. Step 4: Simplify right side
    6,323x = 20,520,524.65
  5. Step 5: Solve for x
    x = 20,520,524.65/6,323
  6. Step 6: Final answer
    x = 3,245.38

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Double scale
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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.