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Finding the Fourth Proportional to 6,365.32, 8,784.24 and 3,847.42

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Solution

The fourth proportional to 6,365.32, 8,784.24 and 3,847.42 is: 5,309.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.32 : 8,784.24 = 3,847.42 : x
  2. Step 2: Convert to fraction form
    6,365.32/8,784.24 = 3,847.42/x
  3. Step 3: Cross multiply
    6,365.32x = 8,784.24 × 3,847.42
  4. Step 4: Simplify right side
    6,365.32x = 33,796,660.66
  5. Step 5: Solve for x
    x = 33,796,660.66/6,365.32
  6. Step 6: Final answer
    x = 5,309.50

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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.