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Finding the Fourth Proportional to 30,842.82, 42,518.52 and 20,214

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Solution

The fourth proportional to 30,842.82, 42,518.52 and 20,214 is: 27,866.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,842.82 : 42,518.52 = 20,214 : x
  2. Step 2: Convert to fraction form
    30,842.82/42,518.52 = 20,214/x
  3. Step 3: Cross multiply
    30,842.82x = 42,518.52 × 20,214
  4. Step 4: Simplify right side
    30,842.82x = 859,469,363.28
  5. Step 5: Solve for x
    x = 859,469,363.28/30,842.82
  6. Step 6: Final answer
    x = 27,866.11

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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.