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Finding the Fourth Proportional to 30,842, 42,561.96 and 16,694.96

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Solution

The fourth proportional to 30,842, 42,561.96 and 16,694.96 is: 23,039.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,842 : 42,561.96 = 16,694.96 : x
  2. Step 2: Convert to fraction form
    30,842/42,561.96 = 16,694.96/x
  3. Step 3: Cross multiply
    30,842x = 42,561.96 × 16,694.96
  4. Step 4: Simplify right side
    30,842x = 710,570,219.72
  5. Step 5: Solve for x
    x = 710,570,219.72/30,842
  6. Step 6: Final answer
    x = 23,039.04

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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.