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Finding the Fourth Proportional to 1,611.58, 2,429.80 and 1,601.58

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Solution

The fourth proportional to 1,611.58, 2,429.80 and 1,601.58 is: 2,414.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611.58 : 2,429.80 = 1,601.58 : x
  2. Step 2: Convert to fraction form
    1,611.58/2,429.80 = 1,601.58/x
  3. Step 3: Cross multiply
    1,611.58x = 2,429.80 × 1,601.58
  4. Step 4: Simplify right side
    1,611.58x = 3,891,511.08
  5. Step 5: Solve for x
    x = 3,891,511.08/1,611.58
  6. Step 6: Final answer
    x = 2,414.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.