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Finding the Fourth Proportional to 30,941.49, 42,698.11 and 16,794.03

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Solution

The fourth proportional to 30,941.49, 42,698.11 and 16,794.03 is: 23,175.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,941.49 : 42,698.11 = 16,794.03 : x
  2. Step 2: Convert to fraction form
    30,941.49/42,698.11 = 16,794.03/x
  3. Step 3: Cross multiply
    30,941.49x = 42,698.11 × 16,794.03
  4. Step 4: Simplify right side
    30,941.49x = 717,073,042.82
  5. Step 5: Solve for x
    x = 717,073,042.82/30,941.49
  6. Step 6: Final answer
    x = 23,175.13

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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.