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Finding the Fourth Proportional to 6,821.96, 9,410.86 and 3,987.48

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Solution

The fourth proportional to 6,821.96, 9,410.86 and 3,987.48 is: 5,500.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.96 : 9,410.86 = 3,987.48 : x
  2. Step 2: Convert to fraction form
    6,821.96/9,410.86 = 3,987.48/x
  3. Step 3: Cross multiply
    6,821.96x = 9,410.86 × 3,987.48
  4. Step 4: Simplify right side
    6,821.96x = 37,525,601.08
  5. Step 5: Solve for x
    x = 37,525,601.08/6,821.96
  6. Step 6: Final answer
    x = 5,500.71

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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.