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Finding the Fourth Proportional to 6,772, 10,160.16 and 2,155

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Solution

The fourth proportional to 6,772, 10,160.16 and 2,155 is: 3,233.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772 : 10,160.16 = 2,155 : x
  2. Step 2: Convert to fraction form
    6,772/10,160.16 = 2,155/x
  3. Step 3: Cross multiply
    6,772x = 10,160.16 × 2,155
  4. Step 4: Simplify right side
    6,772x = 21,895,144.80
  5. Step 5: Solve for x
    x = 21,895,144.80/6,772
  6. Step 6: Final answer
    x = 3,233.19

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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.