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Finding the Fourth Proportional to 6,581.60, 9,879.60 and 4,119.20

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Solution

The fourth proportional to 6,581.60, 9,879.60 and 4,119.20 is: 6,183.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,581.60 : 9,879.60 = 4,119.20 : x
  2. Step 2: Convert to fraction form
    6,581.60/9,879.60 = 4,119.20/x
  3. Step 3: Cross multiply
    6,581.60x = 9,879.60 × 4,119.20
  4. Step 4: Simplify right side
    6,581.60x = 40,696,048.32
  5. Step 5: Solve for x
    x = 40,696,048.32/6,581.60
  6. Step 6: Final answer
    x = 6,183.31

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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.