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Finding the Fourth Proportional to 11,718, 16,168.26 and 7,181.64

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Solution

The fourth proportional to 11,718, 16,168.26 and 7,181.64 is: 9,909.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,718 : 16,168.26 = 7,181.64 : x
  2. Step 2: Convert to fraction form
    11,718/16,168.26 = 7,181.64/x
  3. Step 3: Cross multiply
    11,718x = 16,168.26 × 7,181.64
  4. Step 4: Simplify right side
    11,718x = 116,114,622.75
  5. Step 5: Solve for x
    x = 116,114,622.75/11,718
  6. Step 6: Final answer
    x = 9,909.08

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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.