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Finding the Fourth Proportional to 8,309.30, 11,467.80 and 4,724.80

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Solution

The fourth proportional to 8,309.30, 11,467.80 and 4,724.80 is: 6,520.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.30 : 11,467.80 = 4,724.80 : x
  2. Step 2: Convert to fraction form
    8,309.30/11,467.80 = 4,724.80/x
  3. Step 3: Cross multiply
    8,309.30x = 11,467.80 × 4,724.80
  4. Step 4: Simplify right side
    8,309.30x = 54,183,004.10
  5. Step 5: Solve for x
    x = 54,183,004.10/8,309.30
  6. Step 6: Final answer
    x = 6,520.77

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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.