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Finding the Fourth Proportional to 2,807, 4,212.14 and 1,268

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Solution

The fourth proportional to 2,807, 4,212.14 and 1,268 is: 1,902.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,807 : 4,212.14 = 1,268 : x
  2. Step 2: Convert to fraction form
    2,807/4,212.14 = 1,268/x
  3. Step 3: Cross multiply
    2,807x = 4,212.14 × 1,268
  4. Step 4: Simplify right side
    2,807x = 5,340,993.52
  5. Step 5: Solve for x
    x = 5,340,993.52/2,807
  6. Step 6: Final answer
    x = 1,902.74

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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.