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Finding the Fourth Proportional to 16,950, 23,397.36 and 9,878.64

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Solution

The fourth proportional to 16,950, 23,397.36 and 9,878.64 is: 13,636.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,950 : 23,397.36 = 9,878.64 : x
  2. Step 2: Convert to fraction form
    16,950/23,397.36 = 9,878.64/x
  3. Step 3: Cross multiply
    16,950x = 23,397.36 × 9,878.64
  4. Step 4: Simplify right side
    16,950x = 231,134,096.39
  5. Step 5: Solve for x
    x = 231,134,096.39/16,950
  6. Step 6: Final answer
    x = 13,636.23

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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.