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Finding the Fourth Proportional to 16,668, 23,002.34 and 9,114.16

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Solution

The fourth proportional to 16,668, 23,002.34 and 9,114.16 is: 12,577.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,668 : 23,002.34 = 9,114.16 : x
  2. Step 2: Convert to fraction form
    16,668/23,002.34 = 9,114.16/x
  3. Step 3: Cross multiply
    16,668x = 23,002.34 × 9,114.16
  4. Step 4: Simplify right side
    16,668x = 209,647,007.13
  5. Step 5: Solve for x
    x = 209,647,007.13/16,668
  6. Step 6: Final answer
    x = 12,577.81

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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.