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Finding the Fourth Proportional to 21,842.08, 30,142 and 11,906.08

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Solution

The fourth proportional to 21,842.08, 30,142 and 11,906.08 is: 16,430.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,842.08 : 30,142 = 11,906.08 : x
  2. Step 2: Convert to fraction form
    21,842.08/30,142 = 11,906.08/x
  3. Step 3: Cross multiply
    21,842.08x = 30,142 × 11,906.08
  4. Step 4: Simplify right side
    21,842.08x = 358,873,063.36
  5. Step 5: Solve for x
    x = 358,873,063.36/21,842.08
  6. Step 6: Final answer
    x = 16,430.35

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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.