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Finding the Fourth Proportional to 2,867.73, 4,301.81 and 919.82

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Solution

The fourth proportional to 2,867.73, 4,301.81 and 919.82 is: 1,379.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,867.73 : 4,301.81 = 919.82 : x
  2. Step 2: Convert to fraction form
    2,867.73/4,301.81 = 919.82/x
  3. Step 3: Cross multiply
    2,867.73x = 4,301.81 × 919.82
  4. Step 4: Simplify right side
    2,867.73x = 3,956,890.87
  5. Step 5: Solve for x
    x = 3,956,890.87/2,867.73
  6. Step 6: Final answer
    x = 1,379.80

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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.