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Finding the Fourth Proportional to 16,805, 25,211.68 and 6,947.12

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Solution

The fourth proportional to 16,805, 25,211.68 and 6,947.12 is: 10,422.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,805 : 25,211.68 = 6,947.12 : x
  2. Step 2: Convert to fraction form
    16,805/25,211.68 = 6,947.12/x
  3. Step 3: Cross multiply
    16,805x = 25,211.68 × 6,947.12
  4. Step 4: Simplify right side
    16,805x = 175,148,566.36
  5. Step 5: Solve for x
    x = 175,148,566.36/16,805
  6. Step 6: Final answer
    x = 10,422.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.