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Finding the Fourth Proportional to 11,589.19, 15,992.80 and 6,414.90

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Solution

The fourth proportional to 11,589.19, 15,992.80 and 6,414.90 is: 8,852.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,589.19 : 15,992.80 = 6,414.90 : x
  2. Step 2: Convert to fraction form
    11,589.19/15,992.80 = 6,414.90/x
  3. Step 3: Cross multiply
    11,589.19x = 15,992.80 × 6,414.90
  4. Step 4: Simplify right side
    11,589.19x = 102,592,212.72
  5. Step 5: Solve for x
    x = 102,592,212.72/11,589.19
  6. Step 6: Final answer
    x = 8,852.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.