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Finding the Fourth Proportional to 16,967, 23,416.62 and 9,515

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Solution

The fourth proportional to 16,967, 23,416.62 and 9,515 is: 13,131.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,967 : 23,416.62 = 9,515 : x
  2. Step 2: Convert to fraction form
    16,967/23,416.62 = 9,515/x
  3. Step 3: Cross multiply
    16,967x = 23,416.62 × 9,515
  4. Step 4: Simplify right side
    16,967x = 222,809,139.30
  5. Step 5: Solve for x
    x = 222,809,139.30/16,967
  6. Step 6: Final answer
    x = 13,131.91

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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.