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Finding the Fourth Proportional to 30,969, 42,738 and 16,821.84

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Solution

The fourth proportional to 30,969, 42,738 and 16,821.84 is: 23,214.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,969 : 42,738 = 16,821.84 : x
  2. Step 2: Convert to fraction form
    30,969/42,738 = 16,821.84/x
  3. Step 3: Cross multiply
    30,969x = 42,738 × 16,821.84
  4. Step 4: Simplify right side
    30,969x = 718,931,797.92
  5. Step 5: Solve for x
    x = 718,931,797.92/30,969
  6. Step 6: Final answer
    x = 23,214.56

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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.