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Finding the Fourth Proportional to 13,333, 19,999.68 and 4,099

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Solution

The fourth proportional to 13,333, 19,999.68 and 4,099 is: 6,148.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,333 : 19,999.68 = 4,099 : x
  2. Step 2: Convert to fraction form
    13,333/19,999.68 = 4,099/x
  3. Step 3: Cross multiply
    13,333x = 19,999.68 × 4,099
  4. Step 4: Simplify right side
    13,333x = 81,978,688.32
  5. Step 5: Solve for x
    x = 81,978,688.32/13,333
  6. Step 6: Final answer
    x = 6,148.56

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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.