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Finding the Fourth Proportional to 6,747, 10,120.50 and 2,130

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Solution

The fourth proportional to 6,747, 10,120.50 and 2,130 is: 3,195

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,747 : 10,120.50 = 2,130 : x
  2. Step 2: Convert to fraction form
    6,747/10,120.50 = 2,130/x
  3. Step 3: Cross multiply
    6,747x = 10,120.50 × 2,130
  4. Step 4: Simplify right side
    6,747x = 21,556,665
  5. Step 5: Solve for x
    x = 21,556,665/6,747
  6. Step 6: Final answer
    x = 3,195

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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.