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Finding the Fourth Proportional to 5,180.86, 7,769.46 and 1,670.73

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Solution

The fourth proportional to 5,180.86, 7,769.46 and 1,670.73 is: 2,505.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.86 : 7,769.46 = 1,670.73 : x
  2. Step 2: Convert to fraction form
    5,180.86/7,769.46 = 1,670.73/x
  3. Step 3: Cross multiply
    5,180.86x = 7,769.46 × 1,670.73
  4. Step 4: Simplify right side
    5,180.86x = 12,980,631.06
  5. Step 5: Solve for x
    x = 12,980,631.06/5,180.86
  6. Step 6: Final answer
    x = 2,505.50

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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.