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Finding the Fourth Proportional to 2,515.86, 3,764.07 and 1,786.86

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Solution

The fourth proportional to 2,515.86, 3,764.07 and 1,786.86 is: 2,673.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,515.86 : 3,764.07 = 1,786.86 : x
  2. Step 2: Convert to fraction form
    2,515.86/3,764.07 = 1,786.86/x
  3. Step 3: Cross multiply
    2,515.86x = 3,764.07 × 1,786.86
  4. Step 4: Simplify right side
    2,515.86x = 6,725,866.12
  5. Step 5: Solve for x
    x = 6,725,866.12/2,515.86
  6. Step 6: Final answer
    x = 2,673.39

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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.