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Finding the Fourth Proportional to 30,419.36, 41,978.89 and 16,991.18

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Solution

The fourth proportional to 30,419.36, 41,978.89 and 16,991.18 is: 23,447.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,419.36 : 41,978.89 = 16,991.18 : x
  2. Step 2: Convert to fraction form
    30,419.36/41,978.89 = 16,991.18/x
  3. Step 3: Cross multiply
    30,419.36x = 41,978.89 × 16,991.18
  4. Step 4: Simplify right side
    30,419.36x = 713,270,844.96
  5. Step 5: Solve for x
    x = 713,270,844.96/30,419.36
  6. Step 6: Final answer
    x = 23,447.93

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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.