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Finding the Fourth Proportional to 8,473.76, 12,703.12 and 3,205.09

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Solution

The fourth proportional to 8,473.76, 12,703.12 and 3,205.09 is: 4,804.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,473.76 : 12,703.12 = 3,205.09 : x
  2. Step 2: Convert to fraction form
    8,473.76/12,703.12 = 3,205.09/x
  3. Step 3: Cross multiply
    8,473.76x = 12,703.12 × 3,205.09
  4. Step 4: Simplify right side
    8,473.76x = 40,714,642.88
  5. Step 5: Solve for x
    x = 40,714,642.88/8,473.76
  6. Step 6: Final answer
    x = 4,804.79

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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.