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Finding the Fourth Proportional to 13,888, 20,832 and 4,160

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Solution

The fourth proportional to 13,888, 20,832 and 4,160 is: 6,240

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,888 : 20,832 = 4,160 : x
  2. Step 2: Convert to fraction form
    13,888/20,832 = 4,160/x
  3. Step 3: Cross multiply
    13,888x = 20,832 × 4,160
  4. Step 4: Simplify right side
    13,888x = 86,661,120
  5. Step 5: Solve for x
    x = 86,661,120/13,888
  6. Step 6: Final answer
    x = 6,240

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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.