Home / 2,826.78-3,900.93-1,584.78

Finding the Fourth Proportional to 2,826.78, 3,900.93 and 1,584.78

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Solution

The fourth proportional to 2,826.78, 3,900.93 and 1,584.78 is: 2,186.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,826.78 : 3,900.93 = 1,584.78 : x
  2. Step 2: Convert to fraction form
    2,826.78/3,900.93 = 1,584.78/x
  3. Step 3: Cross multiply
    2,826.78x = 3,900.93 × 1,584.78
  4. Step 4: Simplify right side
    2,826.78x = 6,182,115.85
  5. Step 5: Solve for x
    x = 6,182,115.85/2,826.78
  6. Step 6: Final answer
    x = 2,186.98

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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.