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Finding the Fourth Proportional to 30,793.05, 42,494.69 and 18,053.78

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Solution

The fourth proportional to 30,793.05, 42,494.69 and 18,053.78 is: 24,914.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,793.05 : 42,494.69 = 18,053.78 : x
  2. Step 2: Convert to fraction form
    30,793.05/42,494.69 = 18,053.78/x
  3. Step 3: Cross multiply
    30,793.05x = 42,494.69 × 18,053.78
  4. Step 4: Simplify right side
    30,793.05x = 767,189,617.09
  5. Step 5: Solve for x
    x = 767,189,617.09/30,793.05
  6. Step 6: Final answer
    x = 24,914.38

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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.