Home / 2,319.80-3,480.92-1,022.16

Finding the Fourth Proportional to 2,319.80, 3,480.92 and 1,022.16

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Solution

The fourth proportional to 2,319.80, 3,480.92 and 1,022.16 is: 1,533.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,319.80 : 3,480.92 = 1,022.16 : x
  2. Step 2: Convert to fraction form
    2,319.80/3,480.92 = 1,022.16/x
  3. Step 3: Cross multiply
    2,319.80x = 3,480.92 × 1,022.16
  4. Step 4: Simplify right side
    2,319.80x = 3,558,057.19
  5. Step 5: Solve for x
    x = 3,558,057.19/2,319.80
  6. Step 6: Final answer
    x = 1,533.78

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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.