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Finding the Fourth Proportional to 12,184.34, 16,814.85 and 6,879.74

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Solution

The fourth proportional to 12,184.34, 16,814.85 and 6,879.74 is: 9,494.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,184.34 : 16,814.85 = 6,879.74 : x
  2. Step 2: Convert to fraction form
    12,184.34/16,814.85 = 6,879.74/x
  3. Step 3: Cross multiply
    12,184.34x = 16,814.85 × 6,879.74
  4. Step 4: Simplify right side
    12,184.34x = 115,681,796.14
  5. Step 5: Solve for x
    x = 115,681,796.14/12,184.34
  6. Step 6: Final answer
    x = 9,494.30

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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.