Home / 3,137.22-4,705.20-946.08

Finding the Fourth Proportional to 3,137.22, 4,705.20 and 946.08

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Solution

The fourth proportional to 3,137.22, 4,705.20 and 946.08 is: 1,418.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.22 : 4,705.20 = 946.08 : x
  2. Step 2: Convert to fraction form
    3,137.22/4,705.20 = 946.08/x
  3. Step 3: Cross multiply
    3,137.22x = 4,705.20 × 946.08
  4. Step 4: Simplify right side
    3,137.22x = 4,451,495.62
  5. Step 5: Solve for x
    x = 4,451,495.62/3,137.22
  6. Step 6: Final answer
    x = 1,418.93

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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.