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Finding the Fourth Proportional to 3,828.99, 5,290.35 and 3,405.57

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Solution

The fourth proportional to 3,828.99, 5,290.35 and 3,405.57 is: 4,705.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.99 : 5,290.35 = 3,405.57 : x
  2. Step 2: Convert to fraction form
    3,828.99/5,290.35 = 3,405.57/x
  3. Step 3: Cross multiply
    3,828.99x = 5,290.35 × 3,405.57
  4. Step 4: Simplify right side
    3,828.99x = 18,016,657.25
  5. Step 5: Solve for x
    x = 18,016,657.25/3,828.99
  6. Step 6: Final answer
    x = 4,705.33

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1.5x scale

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.