Home / 1,806.30-2,707.37-819.86

Finding the Fourth Proportional to 1,806.30, 2,707.37 and 819.86

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Solution

The fourth proportional to 1,806.30, 2,707.37 and 819.86 is: 1,228.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.30 : 2,707.37 = 819.86 : x
  2. Step 2: Convert to fraction form
    1,806.30/2,707.37 = 819.86/x
  3. Step 3: Cross multiply
    1,806.30x = 2,707.37 × 819.86
  4. Step 4: Simplify right side
    1,806.30x = 2,219,664.37
  5. Step 5: Solve for x
    x = 2,219,664.37/1,806.30
  6. Step 6: Final answer
    x = 1,228.85

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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.