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Finding the Fourth Proportional to 30,842.88, 42,563.48 and 16,696

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Solution

The fourth proportional to 30,842.88, 42,563.48 and 16,696 is: 23,040.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,842.88 : 42,563.48 = 16,696 : x
  2. Step 2: Convert to fraction form
    30,842.88/42,563.48 = 16,696/x
  3. Step 3: Cross multiply
    30,842.88x = 42,563.48 × 16,696
  4. Step 4: Simplify right side
    30,842.88x = 710,639,862.08
  5. Step 5: Solve for x
    x = 710,639,862.08/30,842.88
  6. Step 6: Final answer
    x = 23,040.65

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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.