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Finding the Fourth Proportional to 8,203.92, 11,321.40 and 4,477.92

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Solution

The fourth proportional to 8,203.92, 11,321.40 and 4,477.92 is: 6,179.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.92 : 11,321.40 = 4,477.92 : x
  2. Step 2: Convert to fraction form
    8,203.92/11,321.40 = 4,477.92/x
  3. Step 3: Cross multiply
    8,203.92x = 11,321.40 × 4,477.92
  4. Step 4: Simplify right side
    8,203.92x = 50,696,323.49
  5. Step 5: Solve for x
    x = 50,696,323.49/8,203.92
  6. Step 6: Final answer
    x = 6,179.52

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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.