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Finding the Fourth Proportional to 1,694.94, 2,538.46 and 1,648.23

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Solution

The fourth proportional to 1,694.94, 2,538.46 and 1,648.23 is: 2,468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.94 : 2,538.46 = 1,648.23 : x
  2. Step 2: Convert to fraction form
    1,694.94/2,538.46 = 1,648.23/x
  3. Step 3: Cross multiply
    1,694.94x = 2,538.46 × 1,648.23
  4. Step 4: Simplify right side
    1,694.94x = 4,183,953.23
  5. Step 5: Solve for x
    x = 4,183,953.23/1,694.94
  6. Step 6: Final answer
    x = 2,468.50

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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.