Home / 2,145.42-3,218.58-829.17

Finding the Fourth Proportional to 2,145.42, 3,218.58 and 829.17

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Solution

The fourth proportional to 2,145.42, 3,218.58 and 829.17 is: 1,243.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145.42 : 3,218.58 = 829.17 : x
  2. Step 2: Convert to fraction form
    2,145.42/3,218.58 = 829.17/x
  3. Step 3: Cross multiply
    2,145.42x = 3,218.58 × 829.17
  4. Step 4: Simplify right side
    2,145.42x = 2,668,749.98
  5. Step 5: Solve for x
    x = 2,668,749.98/2,145.42
  6. Step 6: Final answer
    x = 1,243.93

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1.5x scale

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.