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Finding the Fourth Proportional to 6,658.36, 9,984.35 and 3,145.44

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Solution

The fourth proportional to 6,658.36, 9,984.35 and 3,145.44 is: 4,716.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,658.36 : 9,984.35 = 3,145.44 : x
  2. Step 2: Convert to fraction form
    6,658.36/9,984.35 = 3,145.44/x
  3. Step 3: Cross multiply
    6,658.36x = 9,984.35 × 3,145.44
  4. Step 4: Simplify right side
    6,658.36x = 31,405,145.31
  5. Step 5: Solve for x
    x = 31,405,145.31/6,658.36
  6. Step 6: Final answer
    x = 4,716.65

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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.