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Finding the Fourth Proportional to 3,777.90, 5,641.38 and 3,085.92

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Solution

The fourth proportional to 3,777.90, 5,641.38 and 3,085.92 is: 4,608.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.90 : 5,641.38 = 3,085.92 : x
  2. Step 2: Convert to fraction form
    3,777.90/5,641.38 = 3,085.92/x
  3. Step 3: Cross multiply
    3,777.90x = 5,641.38 × 3,085.92
  4. Step 4: Simplify right side
    3,777.90x = 17,408,847.37
  5. Step 5: Solve for x
    x = 17,408,847.37/3,777.90
  6. Step 6: Final answer
    x = 4,608.08

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.