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Finding the Fourth Proportional to 12,654, 18,992.58 and 6,418.32

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Solution

The fourth proportional to 12,654, 18,992.58 and 6,418.32 is: 9,633.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,654 : 18,992.58 = 6,418.32 : x
  2. Step 2: Convert to fraction form
    12,654/18,992.58 = 6,418.32/x
  3. Step 3: Cross multiply
    12,654x = 18,992.58 × 6,418.32
  4. Step 4: Simplify right side
    12,654x = 121,900,456.07
  5. Step 5: Solve for x
    x = 121,900,456.07/12,654
  6. Step 6: Final answer
    x = 9,633.35

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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.