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Finding the Fourth Proportional to 6,775.50, 10,164.90 and 2,158.50

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Solution

The fourth proportional to 6,775.50, 10,164.90 and 2,158.50 is: 3,238.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775.50 : 10,164.90 = 2,158.50 : x
  2. Step 2: Convert to fraction form
    6,775.50/10,164.90 = 2,158.50/x
  3. Step 3: Cross multiply
    6,775.50x = 10,164.90 × 2,158.50
  4. Step 4: Simplify right side
    6,775.50x = 21,940,936.65
  5. Step 5: Solve for x
    x = 21,940,936.65/6,775.50
  6. Step 6: Final answer
    x = 3,238.28

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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.