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Finding the Fourth Proportional to 3,173.88, 4,379.95 and 1,738.23

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Solution

The fourth proportional to 3,173.88, 4,379.95 and 1,738.23 is: 2,398.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,173.88 : 4,379.95 = 1,738.23 : x
  2. Step 2: Convert to fraction form
    3,173.88/4,379.95 = 1,738.23/x
  3. Step 3: Cross multiply
    3,173.88x = 4,379.95 × 1,738.23
  4. Step 4: Simplify right side
    3,173.88x = 7,613,388.08
  5. Step 5: Solve for x
    x = 7,613,388.08/3,173.88
  6. Step 6: Final answer
    x = 2,398.77

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