Home / 3,137.36-4,706.44-946.31

Finding the Fourth Proportional to 3,137.36, 4,706.44 and 946.31

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Solution

The fourth proportional to 3,137.36, 4,706.44 and 946.31 is: 1,419.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.36 : 4,706.44 = 946.31 : x
  2. Step 2: Convert to fraction form
    3,137.36/4,706.44 = 946.31/x
  3. Step 3: Cross multiply
    3,137.36x = 4,706.44 × 946.31
  4. Step 4: Simplify right side
    3,137.36x = 4,453,728.89
  5. Step 5: Solve for x
    x = 4,453,728.89/3,137.36
  6. Step 6: Final answer
    x = 1,419.58

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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.