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Finding the Fourth Proportional to 6,821.94, 9,415.42 and 3,950.25

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Solution

The fourth proportional to 6,821.94, 9,415.42 and 3,950.25 is: 5,452.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.94 : 9,415.42 = 3,950.25 : x
  2. Step 2: Convert to fraction form
    6,821.94/9,415.42 = 3,950.25/x
  3. Step 3: Cross multiply
    6,821.94x = 9,415.42 × 3,950.25
  4. Step 4: Simplify right side
    6,821.94x = 37,193,232.48
  5. Step 5: Solve for x
    x = 37,193,232.48/6,821.94
  6. Step 6: Final answer
    x = 5,452.01

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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.