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Finding the Fourth Proportional to 12,180.75, 16,809.48 and 6,591.75

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Solution

The fourth proportional to 12,180.75, 16,809.48 and 6,591.75 is: 9,096.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,180.75 : 16,809.48 = 6,591.75 : x
  2. Step 2: Convert to fraction form
    12,180.75/16,809.48 = 6,591.75/x
  3. Step 3: Cross multiply
    12,180.75x = 16,809.48 × 6,591.75
  4. Step 4: Simplify right side
    12,180.75x = 110,803,889.79
  5. Step 5: Solve for x
    x = 110,803,889.79/12,180.75
  6. Step 6: Final answer
    x = 9,096.64

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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.