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Finding the Fourth Proportional to 5,828.19, 8,040.13 and 3,940.42

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Solution

The fourth proportional to 5,828.19, 8,040.13 and 3,940.42 is: 5,435.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.19 : 8,040.13 = 3,940.42 : x
  2. Step 2: Convert to fraction form
    5,828.19/8,040.13 = 3,940.42/x
  3. Step 3: Cross multiply
    5,828.19x = 8,040.13 × 3,940.42
  4. Step 4: Simplify right side
    5,828.19x = 31,681,489.05
  5. Step 5: Solve for x
    x = 31,681,489.05/5,828.19
  6. Step 6: Final answer
    x = 5,435.91

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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.