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Finding the Fourth Proportional to 8,473, 12,709.94 and 3,207.48

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Solution

The fourth proportional to 8,473, 12,709.94 and 3,207.48 is: 4,811.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,473 : 12,709.94 = 3,207.48 : x
  2. Step 2: Convert to fraction form
    8,473/12,709.94 = 3,207.48/x
  3. Step 3: Cross multiply
    8,473x = 12,709.94 × 3,207.48
  4. Step 4: Simplify right side
    8,473x = 40,766,878.35
  5. Step 5: Solve for x
    x = 40,766,878.35/8,473
  6. Step 6: Final answer
    x = 4,811.39

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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.