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Finding the Fourth Proportional to 1,806.57, 2,703 and 1,103.97

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Solution

The fourth proportional to 1,806.57, 2,703 and 1,103.97 is: 1,651.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.57 : 2,703 = 1,103.97 : x
  2. Step 2: Convert to fraction form
    1,806.57/2,703 = 1,103.97/x
  3. Step 3: Cross multiply
    1,806.57x = 2,703 × 1,103.97
  4. Step 4: Simplify right side
    1,806.57x = 2,984,030.91
  5. Step 5: Solve for x
    x = 2,984,030.91/1,806.57
  6. Step 6: Final answer
    x = 1,651.77

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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.