Home / 2,209.73-3,313.87-977.11

Finding the Fourth Proportional to 2,209.73, 3,313.87 and 977.11

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Solution

The fourth proportional to 2,209.73, 3,313.87 and 977.11 is: 1,465.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,209.73 : 3,313.87 = 977.11 : x
  2. Step 2: Convert to fraction form
    2,209.73/3,313.87 = 977.11/x
  3. Step 3: Cross multiply
    2,209.73x = 3,313.87 × 977.11
  4. Step 4: Simplify right side
    2,209.73x = 3,238,004.79
  5. Step 5: Solve for x
    x = 3,238,004.79/2,209.73
  6. Step 6: Final answer
    x = 1,465.34

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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.