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Finding the Fourth Proportional to 8,200.64, 12,289.44 and 4,733.12

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Solution

The fourth proportional to 8,200.64, 12,289.44 and 4,733.12 is: 7,093.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.64 : 12,289.44 = 4,733.12 : x
  2. Step 2: Convert to fraction form
    8,200.64/12,289.44 = 4,733.12/x
  3. Step 3: Cross multiply
    8,200.64x = 12,289.44 × 4,733.12
  4. Step 4: Simplify right side
    8,200.64x = 58,167,394.25
  5. Step 5: Solve for x
    x = 58,167,394.25/8,200.64
  6. Step 6: Final answer
    x = 7,093.03

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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.