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Finding the Fourth Proportional to 6,443.76, 9,666.86 and 3,673.56

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Solution

The fourth proportional to 6,443.76, 9,666.86 and 3,673.56 is: 5,511.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.76 : 9,666.86 = 3,673.56 : x
  2. Step 2: Convert to fraction form
    6,443.76/9,666.86 = 3,673.56/x
  3. Step 3: Cross multiply
    6,443.76x = 9,666.86 × 3,673.56
  4. Step 4: Simplify right side
    6,443.76x = 35,511,771.85
  5. Step 5: Solve for x
    x = 35,511,771.85/6,443.76
  6. Step 6: Final answer
    x = 5,511.03

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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.