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Finding the Fourth Proportional to 6,449.63, 9,675.86 and 2,289.87

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Solution

The fourth proportional to 6,449.63, 9,675.86 and 2,289.87 is: 3,435.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,449.63 : 9,675.86 = 2,289.87 : x
  2. Step 2: Convert to fraction form
    6,449.63/9,675.86 = 2,289.87/x
  3. Step 3: Cross multiply
    6,449.63x = 9,675.86 × 2,289.87
  4. Step 4: Simplify right side
    6,449.63x = 22,156,450.09
  5. Step 5: Solve for x
    x = 22,156,450.09/6,449.63
  6. Step 6: Final answer
    x = 3,435.31

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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.