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Finding the Fourth Proportional to 2,141.44, 3,212 and 1,275

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Solution

The fourth proportional to 2,141.44, 3,212 and 1,275 is: 1,912.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.44 : 3,212 = 1,275 : x
  2. Step 2: Convert to fraction form
    2,141.44/3,212 = 1,275/x
  3. Step 3: Cross multiply
    2,141.44x = 3,212 × 1,275
  4. Step 4: Simplify right side
    2,141.44x = 4,095,300
  5. Step 5: Solve for x
    x = 4,095,300/2,141.44
  6. Step 6: Final answer
    x = 1,912.40

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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.