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Finding the Fourth Proportional to 30,902, 42,644.64 and 16,754.84

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Solution

The fourth proportional to 30,902, 42,644.64 and 16,754.84 is: 23,121.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,902 : 42,644.64 = 16,754.84 : x
  2. Step 2: Convert to fraction form
    30,902/42,644.64 = 16,754.84/x
  3. Step 3: Cross multiply
    30,902x = 42,644.64 × 16,754.84
  4. Step 4: Simplify right side
    30,902x = 714,504,120.06
  5. Step 5: Solve for x
    x = 714,504,120.06/30,902
  6. Step 6: Final answer
    x = 23,121.61

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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.