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Finding the Fourth Proportional to 30,340.40, 41,868.78 and 19,016

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Solution

The fourth proportional to 30,340.40, 41,868.78 and 19,016 is: 26,241.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,340.40 : 41,868.78 = 19,016 : x
  2. Step 2: Convert to fraction form
    30,340.40/41,868.78 = 19,016/x
  3. Step 3: Cross multiply
    30,340.40x = 41,868.78 × 19,016
  4. Step 4: Simplify right side
    30,340.40x = 796,176,720.48
  5. Step 5: Solve for x
    x = 796,176,720.48/30,340.40
  6. Step 6: Final answer
    x = 26,241.47

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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.