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Finding the Fourth Proportional to 6,309.66, 9,464.94 and 2,147.99

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Solution

The fourth proportional to 6,309.66, 9,464.94 and 2,147.99 is: 3,222.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.66 : 9,464.94 = 2,147.99 : x
  2. Step 2: Convert to fraction form
    6,309.66/9,464.94 = 2,147.99/x
  3. Step 3: Cross multiply
    6,309.66x = 9,464.94 × 2,147.99
  4. Step 4: Simplify right side
    6,309.66x = 20,330,549.15
  5. Step 5: Solve for x
    x = 20,330,549.15/6,309.66
  6. Step 6: Final answer
    x = 3,222.13

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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.