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Finding the Fourth Proportional to 3,171.86, 4,757.78 and 980.54

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Solution

The fourth proportional to 3,171.86, 4,757.78 and 980.54 is: 1,470.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.86 : 4,757.78 = 980.54 : x
  2. Step 2: Convert to fraction form
    3,171.86/4,757.78 = 980.54/x
  3. Step 3: Cross multiply
    3,171.86x = 4,757.78 × 980.54
  4. Step 4: Simplify right side
    3,171.86x = 4,665,169.81
  5. Step 5: Solve for x
    x = 4,665,169.81/3,171.86
  6. Step 6: Final answer
    x = 1,470.80

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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.