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Finding the Fourth Proportional to 14,112.96, 21,152 and 7,872.64

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Solution

The fourth proportional to 14,112.96, 21,152 and 7,872.64 is: 11,799.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,112.96 : 21,152 = 7,872.64 : x
  2. Step 2: Convert to fraction form
    14,112.96/21,152 = 7,872.64/x
  3. Step 3: Cross multiply
    14,112.96x = 21,152 × 7,872.64
  4. Step 4: Simplify right side
    14,112.96x = 166,522,081.28
  5. Step 5: Solve for x
    x = 166,522,081.28/14,112.96
  6. Step 6: Final answer
    x = 11,799.23

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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.