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Finding the Fourth Proportional to 3,060.48, 4,591 and 980.54

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Solution

The fourth proportional to 3,060.48, 4,591 and 980.54 is: 1,470.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,060.48 : 4,591 = 980.54 : x
  2. Step 2: Convert to fraction form
    3,060.48/4,591 = 980.54/x
  3. Step 3: Cross multiply
    3,060.48x = 4,591 × 980.54
  4. Step 4: Simplify right side
    3,060.48x = 4,501,659.14
  5. Step 5: Solve for x
    x = 4,501,659.14/3,060.48
  6. Step 6: Final answer
    x = 1,470.90

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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.