Home / 3,137.64-4,706.26-946.44

Finding the Fourth Proportional to 3,137.64, 4,706.26 and 946.44

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Solution

The fourth proportional to 3,137.64, 4,706.26 and 946.44 is: 1,419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.64 : 4,706.26 = 946.44 : x
  2. Step 2: Convert to fraction form
    3,137.64/4,706.26 = 946.44/x
  3. Step 3: Cross multiply
    3,137.64x = 4,706.26 × 946.44
  4. Step 4: Simplify right side
    3,137.64x = 4,454,192.71
  5. Step 5: Solve for x
    x = 4,454,192.71/3,137.64
  6. Step 6: Final answer
    x = 1,419.60

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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.