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Finding the Fourth Proportional to 30,843.40, 42,563.82 and 16,696.24

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Solution

The fourth proportional to 30,843.40, 42,563.82 and 16,696.24 is: 23,040.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,843.40 : 42,563.82 = 16,696.24 : x
  2. Step 2: Convert to fraction form
    30,843.40/42,563.82 = 16,696.24/x
  3. Step 3: Cross multiply
    30,843.40x = 42,563.82 × 16,696.24
  4. Step 4: Simplify right side
    30,843.40x = 710,655,754.04
  5. Step 5: Solve for x
    x = 710,655,754.04/30,843.40
  6. Step 6: Final answer
    x = 23,040.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.