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Finding the Fourth Proportional to 16,938, 23,375.16 and 9,863.28

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Solution

The fourth proportional to 16,938, 23,375.16 and 9,863.28 is: 13,611.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,938 : 23,375.16 = 9,863.28 : x
  2. Step 2: Convert to fraction form
    16,938/23,375.16 = 9,863.28/x
  3. Step 3: Cross multiply
    16,938x = 23,375.16 × 9,863.28
  4. Step 4: Simplify right side
    16,938x = 230,555,748.12
  5. Step 5: Solve for x
    x = 230,555,748.12/16,938
  6. Step 6: Final answer
    x = 13,611.75

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1.5x scale

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.