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Finding the Fourth Proportional to 3,137.97, 4,706.99 and 946.79

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Solution

The fourth proportional to 3,137.97, 4,706.99 and 946.79 is: 1,420.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137.97 : 4,706.99 = 946.79 : x
  2. Step 2: Convert to fraction form
    3,137.97/4,706.99 = 946.79/x
  3. Step 3: Cross multiply
    3,137.97x = 4,706.99 × 946.79
  4. Step 4: Simplify right side
    3,137.97x = 4,456,521.33
  5. Step 5: Solve for x
    x = 4,456,521.33/3,137.97
  6. Step 6: Final answer
    x = 1,420.19

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1.5x scale

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.