Home / 2,277.81-3,415.25-961.20

Finding the Fourth Proportional to 2,277.81, 3,415.25 and 961.20

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Solution

The fourth proportional to 2,277.81, 3,415.25 and 961.20 is: 1,441.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.81 : 3,415.25 = 961.20 : x
  2. Step 2: Convert to fraction form
    2,277.81/3,415.25 = 961.20/x
  3. Step 3: Cross multiply
    2,277.81x = 3,415.25 × 961.20
  4. Step 4: Simplify right side
    2,277.81x = 3,282,735.90
  5. Step 5: Solve for x
    x = 3,282,735.90/2,277.81
  6. Step 6: Final answer
    x = 1,441.18

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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.