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Finding the Fourth Proportional to 3,445.57, 5,168.35 and 980.41

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Solution

The fourth proportional to 3,445.57, 5,168.35 and 980.41 is: 1,470.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,445.57 : 5,168.35 = 980.41 : x
  2. Step 2: Convert to fraction form
    3,445.57/5,168.35 = 980.41/x
  3. Step 3: Cross multiply
    3,445.57x = 5,168.35 × 980.41
  4. Step 4: Simplify right side
    3,445.57x = 5,067,102.02
  5. Step 5: Solve for x
    x = 5,067,102.02/3,445.57
  6. Step 6: Final answer
    x = 1,470.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.