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Finding the Fourth Proportional to 6,446.09, 9,678.05 and 3,328.67

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Solution

The fourth proportional to 6,446.09, 9,678.05 and 3,328.67 is: 4,997.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.09 : 9,678.05 = 3,328.67 : x
  2. Step 2: Convert to fraction form
    6,446.09/9,678.05 = 3,328.67/x
  3. Step 3: Cross multiply
    6,446.09x = 9,678.05 × 3,328.67
  4. Step 4: Simplify right side
    6,446.09x = 32,215,034.69
  5. Step 5: Solve for x
    x = 32,215,034.69/6,446.09
  6. Step 6: Final answer
    x = 4,997.61

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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.