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Finding the Fourth Proportional to 1,205.92, 1,806 and 1,076.32

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Solution

The fourth proportional to 1,205.92, 1,806 and 1,076.32 is: 1,611.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.92 : 1,806 = 1,076.32 : x
  2. Step 2: Convert to fraction form
    1,205.92/1,806 = 1,076.32/x
  3. Step 3: Cross multiply
    1,205.92x = 1,806 × 1,076.32
  4. Step 4: Simplify right side
    1,205.92x = 1,943,833.92
  5. Step 5: Solve for x
    x = 1,943,833.92/1,205.92
  6. Step 6: Final answer
    x = 1,611.91

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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.