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Finding the Fourth Proportional to 3,137, 4,706.30 and 1,085

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Solution

The fourth proportional to 3,137, 4,706.30 and 1,085 is: 1,627.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,137 : 4,706.30 = 1,085 : x
  2. Step 2: Convert to fraction form
    3,137/4,706.30 = 1,085/x
  3. Step 3: Cross multiply
    3,137x = 4,706.30 × 1,085
  4. Step 4: Simplify right side
    3,137x = 5,106,335.50
  5. Step 5: Solve for x
    x = 5,106,335.50/3,137
  6. Step 6: Final answer
    x = 1,627.78

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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.