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Finding the Fourth Proportional to 8,203.83, 12,308.81 and 4,919.28

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Solution

The fourth proportional to 8,203.83, 12,308.81 and 4,919.28 is: 7,380.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.83 : 12,308.81 = 4,919.28 : x
  2. Step 2: Convert to fraction form
    8,203.83/12,308.81 = 4,919.28/x
  3. Step 3: Cross multiply
    8,203.83x = 12,308.81 × 4,919.28
  4. Step 4: Simplify right side
    8,203.83x = 60,550,458.26
  5. Step 5: Solve for x
    x = 60,550,458.26/8,203.83
  6. Step 6: Final answer
    x = 7,380.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.