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Finding the Fourth Proportional to 12,194.10, 18,327.60 and 10,590.30

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Solution

The fourth proportional to 12,194.10, 18,327.60 and 10,590.30 is: 15,917.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,194.10 : 18,327.60 = 10,590.30 : x
  2. Step 2: Convert to fraction form
    12,194.10/18,327.60 = 10,590.30/x
  3. Step 3: Cross multiply
    12,194.10x = 18,327.60 × 10,590.30
  4. Step 4: Simplify right side
    12,194.10x = 194,094,782.28
  5. Step 5: Solve for x
    x = 194,094,782.28/12,194.10
  6. Step 6: Final answer
    x = 15,917.11

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