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Finding the Fourth Proportional to 2,803.68, 4,205.56 and 855.92

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Solution

The fourth proportional to 2,803.68, 4,205.56 and 855.92 is: 1,283.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.68 : 4,205.56 = 855.92 : x
  2. Step 2: Convert to fraction form
    2,803.68/4,205.56 = 855.92/x
  3. Step 3: Cross multiply
    2,803.68x = 4,205.56 × 855.92
  4. Step 4: Simplify right side
    2,803.68x = 3,599,622.92
  5. Step 5: Solve for x
    x = 3,599,622.92/2,803.68
  6. Step 6: Final answer
    x = 1,283.89

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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.