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Finding the Fourth Proportional to 9,309.77, 13,969.20 and 4,379.90

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Solution

The fourth proportional to 9,309.77, 13,969.20 and 4,379.90 is: 6,571.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,309.77 : 13,969.20 = 4,379.90 : x
  2. Step 2: Convert to fraction form
    9,309.77/13,969.20 = 4,379.90/x
  3. Step 3: Cross multiply
    9,309.77x = 13,969.20 × 4,379.90
  4. Step 4: Simplify right side
    9,309.77x = 61,183,629.23
  5. Step 5: Solve for x
    x = 61,183,629.23/9,309.77
  6. Step 6: Final answer
    x = 6,571.98

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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.