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Finding the Fourth Proportional to 12,128.16, 16,720.16 and 8,299.09

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Solution

The fourth proportional to 12,128.16, 16,720.16 and 8,299.09 is: 11,441.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,128.16 : 16,720.16 = 8,299.09 : x
  2. Step 2: Convert to fraction form
    12,128.16/16,720.16 = 8,299.09/x
  3. Step 3: Cross multiply
    12,128.16x = 16,720.16 × 8,299.09
  4. Step 4: Simplify right side
    12,128.16x = 138,762,092.06
  5. Step 5: Solve for x
    x = 138,762,092.06/12,128.16
  6. Step 6: Final answer
    x = 11,441.31

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1.5x scale

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.