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Finding the Fourth Proportional to 12,401.46, 17,115.99 and 8,145

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Solution

The fourth proportional to 12,401.46, 17,115.99 and 8,145 is: 11,241.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,401.46 : 17,115.99 = 8,145 : x
  2. Step 2: Convert to fraction form
    12,401.46/17,115.99 = 8,145/x
  3. Step 3: Cross multiply
    12,401.46x = 17,115.99 × 8,145
  4. Step 4: Simplify right side
    12,401.46x = 139,409,738.55
  5. Step 5: Solve for x
    x = 139,409,738.55/12,401.46
  6. Step 6: Final answer
    x = 11,241.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.