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Finding the Fourth Proportional to 8,145, 12,213.45 and 3,982.41

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Solution

The fourth proportional to 8,145, 12,213.45 and 3,982.41 is: 5,971.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145 : 12,213.45 = 3,982.41 : x
  2. Step 2: Convert to fraction form
    8,145/12,213.45 = 3,982.41/x
  3. Step 3: Cross multiply
    8,145x = 12,213.45 × 3,982.41
  4. Step 4: Simplify right side
    8,145x = 48,638,965.41
  5. Step 5: Solve for x
    x = 48,638,965.41/8,145
  6. Step 6: Final answer
    x = 5,971.63

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1.5x scale

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.