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Finding the Fourth Proportional to 3,447.69, 5,167.49 and 1,805.01

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Solution

The fourth proportional to 3,447.69, 5,167.49 and 1,805.01 is: 2,705.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.69 : 5,167.49 = 1,805.01 : x
  2. Step 2: Convert to fraction form
    3,447.69/5,167.49 = 1,805.01/x
  3. Step 3: Cross multiply
    3,447.69x = 5,167.49 × 1,805.01
  4. Step 4: Simplify right side
    3,447.69x = 9,327,362.10
  5. Step 5: Solve for x
    x = 9,327,362.10/3,447.69
  6. Step 6: Final answer
    x = 2,705.39

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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.