Home / 3,137.32-4,705.62-946.05

Finding the Fourth Proportional to 3,137.32, 4,705.62 and 946.05

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Solution

The fourth proportional to 3,137.32, 4,705.62 and 946.05 is: 1,418.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.32 : 4,705.62 = 946.05 : x
  2. Step 2: Convert to fraction form
    3,137.32/4,705.62 = 946.05/x
  3. Step 3: Cross multiply
    3,137.32x = 4,705.62 × 946.05
  4. Step 4: Simplify right side
    3,137.32x = 4,451,728.27
  5. Step 5: Solve for x
    x = 4,451,728.27/3,137.32
  6. Step 6: Final answer
    x = 1,418.96

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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.