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Finding the Fourth Proportional to 30,424, 41,986.02 and 16,995.82

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Solution

The fourth proportional to 30,424, 41,986.02 and 16,995.82 is: 23,454.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,424 : 41,986.02 = 16,995.82 : x
  2. Step 2: Convert to fraction form
    30,424/41,986.02 = 16,995.82/x
  3. Step 3: Cross multiply
    30,424x = 41,986.02 × 16,995.82
  4. Step 4: Simplify right side
    30,424x = 713,586,838.44
  5. Step 5: Solve for x
    x = 713,586,838.44/30,424
  6. Step 6: Final answer
    x = 23,454.73

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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.