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Finding the Fourth Proportional to 2,653.97, 3,980.14 and 1,734.41

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Solution

The fourth proportional to 2,653.97, 3,980.14 and 1,734.41 is: 2,601.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,653.97 : 3,980.14 = 1,734.41 : x
  2. Step 2: Convert to fraction form
    2,653.97/3,980.14 = 1,734.41/x
  3. Step 3: Cross multiply
    2,653.97x = 3,980.14 × 1,734.41
  4. Step 4: Simplify right side
    2,653.97x = 6,903,200.23
  5. Step 5: Solve for x
    x = 6,903,200.23/2,653.97
  6. Step 6: Final answer
    x = 2,601.09

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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.