Home / 3,922.04-5,882.78-1,456.14

Finding the Fourth Proportional to 3,922.04, 5,882.78 and 1,456.14

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Solution

The fourth proportional to 3,922.04, 5,882.78 and 1,456.14 is: 2,184.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.04 : 5,882.78 = 1,456.14 : x
  2. Step 2: Convert to fraction form
    3,922.04/5,882.78 = 1,456.14/x
  3. Step 3: Cross multiply
    3,922.04x = 5,882.78 × 1,456.14
  4. Step 4: Simplify right side
    3,922.04x = 8,566,151.27
  5. Step 5: Solve for x
    x = 8,566,151.27/3,922.04
  6. Step 6: Final answer
    x = 2,184.11

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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.