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Finding the Fourth Proportional to 30,283.92, 41,768.10 and 19,677

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Solution

The fourth proportional to 30,283.92, 41,768.10 and 19,677 is: 27,138.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,283.92 : 41,768.10 = 19,677 : x
  2. Step 2: Convert to fraction form
    30,283.92/41,768.10 = 19,677/x
  3. Step 3: Cross multiply
    30,283.92x = 41,768.10 × 19,677
  4. Step 4: Simplify right side
    30,283.92x = 821,870,903.70
  5. Step 5: Solve for x
    x = 821,870,903.70/30,283.92
  6. Step 6: Final answer
    x = 27,138.85

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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.