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Finding the Fourth Proportional to 12,663.24, 18,978.32 and 9,165.02

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Solution

The fourth proportional to 12,663.24, 18,978.32 and 9,165.02 is: 13,735.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,663.24 : 18,978.32 = 9,165.02 : x
  2. Step 2: Convert to fraction form
    12,663.24/18,978.32 = 9,165.02/x
  3. Step 3: Cross multiply
    12,663.24x = 18,978.32 × 9,165.02
  4. Step 4: Simplify right side
    12,663.24x = 173,936,682.37
  5. Step 5: Solve for x
    x = 173,936,682.37/12,663.24
  6. Step 6: Final answer
    x = 13,735.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.