Home / 2,209.83-3,313.86-976.37

Finding the Fourth Proportional to 2,209.83, 3,313.86 and 976.37

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Solution

The fourth proportional to 2,209.83, 3,313.86 and 976.37 is: 1,464.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.83 : 3,313.86 = 976.37 : x
  2. Step 2: Convert to fraction form
    2,209.83/3,313.86 = 976.37/x
  3. Step 3: Cross multiply
    2,209.83x = 3,313.86 × 976.37
  4. Step 4: Simplify right side
    2,209.83x = 3,235,533.26
  5. Step 5: Solve for x
    x = 3,235,533.26/2,209.83
  6. Step 6: Final answer
    x = 1,464.16

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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.