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Finding the Fourth Proportional to 30,775.68, 42,470.73 and 18,198

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Solution

The fourth proportional to 30,775.68, 42,470.73 and 18,198 is: 25,113.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,775.68 : 42,470.73 = 18,198 : x
  2. Step 2: Convert to fraction form
    30,775.68/42,470.73 = 18,198/x
  3. Step 3: Cross multiply
    30,775.68x = 42,470.73 × 18,198
  4. Step 4: Simplify right side
    30,775.68x = 772,882,344.54
  5. Step 5: Solve for x
    x = 772,882,344.54/30,775.68
  6. Step 6: Final answer
    x = 25,113.41

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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.