Home / 3,137.31-4,706.46-945.78

Finding the Fourth Proportional to 3,137.31, 4,706.46 and 945.78

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Solution

The fourth proportional to 3,137.31, 4,706.46 and 945.78 is: 1,418.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.31 : 4,706.46 = 945.78 : x
  2. Step 2: Convert to fraction form
    3,137.31/4,706.46 = 945.78/x
  3. Step 3: Cross multiply
    3,137.31x = 4,706.46 × 945.78
  4. Step 4: Simplify right side
    3,137.31x = 4,451,275.74
  5. Step 5: Solve for x
    x = 4,451,275.74/3,137.31
  6. Step 6: Final answer
    x = 1,418.82

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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.