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Finding the Fourth Proportional to 9,664.32, 14,485.68 and 6,379.68

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Solution

The fourth proportional to 9,664.32, 14,485.68 and 6,379.68 is: 9,562.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.32 : 14,485.68 = 6,379.68 : x
  2. Step 2: Convert to fraction form
    9,664.32/14,485.68 = 6,379.68/x
  3. Step 3: Cross multiply
    9,664.32x = 14,485.68 × 6,379.68
  4. Step 4: Simplify right side
    9,664.32x = 92,414,002.98
  5. Step 5: Solve for x
    x = 92,414,002.98/9,664.32
  6. Step 6: Final answer
    x = 9,562.39

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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.