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Finding the Fourth Proportional to 6,445.44, 8,896.32 and 3,960

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Solution

The fourth proportional to 6,445.44, 8,896.32 and 3,960 is: 5,465.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.44 : 8,896.32 = 3,960 : x
  2. Step 2: Convert to fraction form
    6,445.44/8,896.32 = 3,960/x
  3. Step 3: Cross multiply
    6,445.44x = 8,896.32 × 3,960
  4. Step 4: Simplify right side
    6,445.44x = 35,229,427.20
  5. Step 5: Solve for x
    x = 35,229,427.20/6,445.44
  6. Step 6: Final answer
    x = 5,465.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.