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Finding the Fourth Proportional to 12,121, 16,720.50 and 8,135.26

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Solution

The fourth proportional to 12,121, 16,720.50 and 8,135.26 is: 11,222.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,121 : 16,720.50 = 8,135.26 : x
  2. Step 2: Convert to fraction form
    12,121/16,720.50 = 8,135.26/x
  3. Step 3: Cross multiply
    12,121x = 16,720.50 × 8,135.26
  4. Step 4: Simplify right side
    12,121x = 136,025,614.83
  5. Step 5: Solve for x
    x = 136,025,614.83/12,121
  6. Step 6: Final answer
    x = 11,222.31

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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.