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Finding the Fourth Proportional to 7,183.92, 9,914.64 and 3,998.40

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Solution

The fourth proportional to 7,183.92, 9,914.64 and 3,998.40 is: 5,518.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,183.92 : 9,914.64 = 3,998.40 : x
  2. Step 2: Convert to fraction form
    7,183.92/9,914.64 = 3,998.40/x
  3. Step 3: Cross multiply
    7,183.92x = 9,914.64 × 3,998.40
  4. Step 4: Simplify right side
    7,183.92x = 39,642,696.58
  5. Step 5: Solve for x
    x = 39,642,696.58/7,183.92
  6. Step 6: Final answer
    x = 5,518.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.