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Finding the Fourth Proportional to 1,611.62, 2,418.07 and 1,609.06

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Solution

The fourth proportional to 1,611.62, 2,418.07 and 1,609.06 is: 2,414.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.62 : 2,418.07 = 1,609.06 : x
  2. Step 2: Convert to fraction form
    1,611.62/2,418.07 = 1,609.06/x
  3. Step 3: Cross multiply
    1,611.62x = 2,418.07 × 1,609.06
  4. Step 4: Simplify right side
    1,611.62x = 3,890,819.71
  5. Step 5: Solve for x
    x = 3,890,819.71/1,611.62
  6. Step 6: Final answer
    x = 2,414.23

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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.