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Finding the Fourth Proportional to 6,729.89, 10,105.76 and 6,678.86

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Solution

The fourth proportional to 6,729.89, 10,105.76 and 6,678.86 is: 10,029.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.89 : 10,105.76 = 6,678.86 : x
  2. Step 2: Convert to fraction form
    6,729.89/10,105.76 = 6,678.86/x
  3. Step 3: Cross multiply
    6,729.89x = 10,105.76 × 6,678.86
  4. Step 4: Simplify right side
    6,729.89x = 67,494,922.40
  5. Step 5: Solve for x
    x = 67,494,922.40/6,729.89
  6. Step 6: Final answer
    x = 10,029.13

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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.