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Finding the Fourth Proportional to 30,938, 42,694.46 and 16,790.84

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Solution

The fourth proportional to 30,938, 42,694.46 and 16,790.84 is: 23,171.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,938 : 42,694.46 = 16,790.84 : x
  2. Step 2: Convert to fraction form
    30,938/42,694.46 = 16,790.84/x
  3. Step 3: Cross multiply
    30,938x = 42,694.46 × 16,790.84
  4. Step 4: Simplify right side
    30,938x = 716,875,846.75
  5. Step 5: Solve for x
    x = 716,875,846.75/30,938
  6. Step 6: Final answer
    x = 23,171.37

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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.