Home / 3,137.06-4,705.61-828.56

Finding the Fourth Proportional to 3,137.06, 4,705.61 and 828.56

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Solution

The fourth proportional to 3,137.06, 4,705.61 and 828.56 is: 1,242.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.06 : 4,705.61 = 828.56 : x
  2. Step 2: Convert to fraction form
    3,137.06/4,705.61 = 828.56/x
  3. Step 3: Cross multiply
    3,137.06x = 4,705.61 × 828.56
  4. Step 4: Simplify right side
    3,137.06x = 3,898,887.84
  5. Step 5: Solve for x
    x = 3,898,887.84/3,137.06
  6. Step 6: Final answer
    x = 1,242.85

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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.