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Finding the Fourth Proportional to 4,085.99, 6,131.32 and 3,400.96

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Solution

The fourth proportional to 4,085.99, 6,131.32 and 3,400.96 is: 5,103.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,085.99 : 6,131.32 = 3,400.96 : x
  2. Step 2: Convert to fraction form
    4,085.99/6,131.32 = 3,400.96/x
  3. Step 3: Cross multiply
    4,085.99x = 6,131.32 × 3,400.96
  4. Step 4: Simplify right side
    4,085.99x = 20,852,374.07
  5. Step 5: Solve for x
    x = 20,852,374.07/4,085.99
  6. Step 6: Final answer
    x = 5,103.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.