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Finding the Fourth Proportional to 6,447.87, 9,663.71 and 3,676.05

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Solution

The fourth proportional to 6,447.87, 9,663.71 and 3,676.05 is: 5,509.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.87 : 9,663.71 = 3,676.05 : x
  2. Step 2: Convert to fraction form
    6,447.87/9,663.71 = 3,676.05/x
  3. Step 3: Cross multiply
    6,447.87x = 9,663.71 × 3,676.05
  4. Step 4: Simplify right side
    6,447.87x = 35,524,262.77
  5. Step 5: Solve for x
    x = 35,524,262.77/6,447.87
  6. Step 6: Final answer
    x = 5,509.46

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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.