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Finding the Fourth Proportional to 2,984.70, 4,118.23 and 1,805.75

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Solution

The fourth proportional to 2,984.70, 4,118.23 and 1,805.75 is: 2,491.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.70 : 4,118.23 = 1,805.75 : x
  2. Step 2: Convert to fraction form
    2,984.70/4,118.23 = 1,805.75/x
  3. Step 3: Cross multiply
    2,984.70x = 4,118.23 × 1,805.75
  4. Step 4: Simplify right side
    2,984.70x = 7,436,493.82
  5. Step 5: Solve for x
    x = 7,436,493.82/2,984.70
  6. Step 6: Final answer
    x = 2,491.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.