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Finding the Fourth Proportional to 3,060.85, 4,590.10 and 980.41

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Solution

The fourth proportional to 3,060.85, 4,590.10 and 980.41 is: 1,470.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,060.85 : 4,590.10 = 980.41 : x
  2. Step 2: Convert to fraction form
    3,060.85/4,590.10 = 980.41/x
  3. Step 3: Cross multiply
    3,060.85x = 4,590.10 × 980.41
  4. Step 4: Simplify right side
    3,060.85x = 4,500,179.94
  5. Step 5: Solve for x
    x = 4,500,179.94/3,060.85
  6. Step 6: Final answer
    x = 1,470.24

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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.