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Finding the Fourth Proportional to 1,699.85, 2,548.26 and 1,081.82

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Solution

The fourth proportional to 1,699.85, 2,548.26 and 1,081.82 is: 1,621.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,699.85 : 2,548.26 = 1,081.82 : x
  2. Step 2: Convert to fraction form
    1,699.85/2,548.26 = 1,081.82/x
  3. Step 3: Cross multiply
    1,699.85x = 2,548.26 × 1,081.82
  4. Step 4: Simplify right side
    1,699.85x = 2,756,765.00
  5. Step 5: Solve for x
    x = 2,756,765.00/1,699.85
  6. Step 6: Final answer
    x = 1,621.77

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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.