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Finding the Fourth Proportional to 6,441.56, 9,662.34 and 2,978.36

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Solution

The fourth proportional to 6,441.56, 9,662.34 and 2,978.36 is: 4,467.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.56 : 9,662.34 = 2,978.36 : x
  2. Step 2: Convert to fraction form
    6,441.56/9,662.34 = 2,978.36/x
  3. Step 3: Cross multiply
    6,441.56x = 9,662.34 × 2,978.36
  4. Step 4: Simplify right side
    6,441.56x = 28,777,926.96
  5. Step 5: Solve for x
    x = 28,777,926.96/6,441.56
  6. Step 6: Final answer
    x = 4,467.54

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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.