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Finding the Fourth Proportional to 1,911.89, 2,867.97 and 986.87

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Solution

The fourth proportional to 1,911.89, 2,867.97 and 986.87 is: 1,480.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.89 : 2,867.97 = 986.87 : x
  2. Step 2: Convert to fraction form
    1,911.89/2,867.97 = 986.87/x
  3. Step 3: Cross multiply
    1,911.89x = 2,867.97 × 986.87
  4. Step 4: Simplify right side
    1,911.89x = 2,830,299.21
  5. Step 5: Solve for x
    x = 2,830,299.21/1,911.89
  6. Step 6: Final answer
    x = 1,480.37

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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.