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Finding the Fourth Proportional to 3,889.87, 5,835.67 and 1,116.33

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Solution

The fourth proportional to 3,889.87, 5,835.67 and 1,116.33 is: 1,674.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.87 : 5,835.67 = 1,116.33 : x
  2. Step 2: Convert to fraction form
    3,889.87/5,835.67 = 1,116.33/x
  3. Step 3: Cross multiply
    3,889.87x = 5,835.67 × 1,116.33
  4. Step 4: Simplify right side
    3,889.87x = 6,514,544.78
  5. Step 5: Solve for x
    x = 6,514,544.78/3,889.87
  6. Step 6: Final answer
    x = 1,674.74

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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.