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Finding the Fourth Proportional to 16,839, 25,266.42 and 6,447.96

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Solution

The fourth proportional to 16,839, 25,266.42 and 6,447.96 is: 9,674.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,839 : 25,266.42 = 6,447.96 : x
  2. Step 2: Convert to fraction form
    16,839/25,266.42 = 6,447.96/x
  3. Step 3: Cross multiply
    16,839x = 25,266.42 × 6,447.96
  4. Step 4: Simplify right side
    16,839x = 162,916,865.50
  5. Step 5: Solve for x
    x = 162,916,865.50/16,839
  6. Step 6: Final answer
    x = 9,674.97

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1.5x scale

Why These Related Problems?

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