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Finding the Fourth Proportional to 13,173, 18,181.78 and 8,697.64

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Solution

The fourth proportional to 13,173, 18,181.78 and 8,697.64 is: 12,004.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,173 : 18,181.78 = 8,697.64 : x
  2. Step 2: Convert to fraction form
    13,173/18,181.78 = 8,697.64/x
  3. Step 3: Cross multiply
    13,173x = 18,181.78 × 8,697.64
  4. Step 4: Simplify right side
    13,173x = 158,138,577.00
  5. Step 5: Solve for x
    x = 158,138,577.00/13,173
  6. Step 6: Final answer
    x = 12,004.75

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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.