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Finding the Fourth Proportional to 6,353.75, 8,768.31 and 3,804.15

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Solution

The fourth proportional to 6,353.75, 8,768.31 and 3,804.15 is: 5,249.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,353.75 : 8,768.31 = 3,804.15 : x
  2. Step 2: Convert to fraction form
    6,353.75/8,768.31 = 3,804.15/x
  3. Step 3: Cross multiply
    6,353.75x = 8,768.31 × 3,804.15
  4. Step 4: Simplify right side
    6,353.75x = 33,355,966.49
  5. Step 5: Solve for x
    x = 33,355,966.49/6,353.75
  6. Step 6: Final answer
    x = 5,249.81

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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.