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Finding the Fourth Proportional to 11,664, 16,102.07 and 8,081.67

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Solution

The fourth proportional to 11,664, 16,102.07 and 8,081.67 is: 11,156.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,664 : 16,102.07 = 8,081.67 : x
  2. Step 2: Convert to fraction form
    11,664/16,102.07 = 8,081.67/x
  3. Step 3: Cross multiply
    11,664x = 16,102.07 × 8,081.67
  4. Step 4: Simplify right side
    11,664x = 130,131,643.61
  5. Step 5: Solve for x
    x = 130,131,643.61/11,664
  6. Step 6: Final answer
    x = 11,156.69

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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.