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Finding the Fourth Proportional to 5,918.85, 8,879.97 and 1,916.14

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Solution

The fourth proportional to 5,918.85, 8,879.97 and 1,916.14 is: 2,874.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,918.85 : 8,879.97 = 1,916.14 : x
  2. Step 2: Convert to fraction form
    5,918.85/8,879.97 = 1,916.14/x
  3. Step 3: Cross multiply
    5,918.85x = 8,879.97 × 1,916.14
  4. Step 4: Simplify right side
    5,918.85x = 17,015,265.72
  5. Step 5: Solve for x
    x = 17,015,265.72/5,918.85
  6. Step 6: Final answer
    x = 2,874.76

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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.