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Finding the Fourth Proportional to 2,706.60, 4,059.90 and 1,729.80

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Solution

The fourth proportional to 2,706.60, 4,059.90 and 1,729.80 is: 2,594.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.60 : 4,059.90 = 1,729.80 : x
  2. Step 2: Convert to fraction form
    2,706.60/4,059.90 = 1,729.80/x
  3. Step 3: Cross multiply
    2,706.60x = 4,059.90 × 1,729.80
  4. Step 4: Simplify right side
    2,706.60x = 7,022,815.02
  5. Step 5: Solve for x
    x = 7,022,815.02/2,706.60
  6. Step 6: Final answer
    x = 2,594.70

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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.