Home / 2,786.24-3,850.08-1,856

Finding the Fourth Proportional to 2,786.24, 3,850.08 and 1,856

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Solution

The fourth proportional to 2,786.24, 3,850.08 and 1,856 is: 2,564.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.24 : 3,850.08 = 1,856 : x
  2. Step 2: Convert to fraction form
    2,786.24/3,850.08 = 1,856/x
  3. Step 3: Cross multiply
    2,786.24x = 3,850.08 × 1,856
  4. Step 4: Simplify right side
    2,786.24x = 7,145,748.48
  5. Step 5: Solve for x
    x = 7,145,748.48/2,786.24
  6. Step 6: Final answer
    x = 2,564.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.