Home / 3,814.16-5,730.84-2,428.12

Finding the Fourth Proportional to 3,814.16, 5,730.84 and 2,428.12

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Solution

The fourth proportional to 3,814.16, 5,730.84 and 2,428.12 is: 3,648.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.16 : 5,730.84 = 2,428.12 : x
  2. Step 2: Convert to fraction form
    3,814.16/5,730.84 = 2,428.12/x
  3. Step 3: Cross multiply
    3,814.16x = 5,730.84 × 2,428.12
  4. Step 4: Simplify right side
    3,814.16x = 13,915,167.22
  5. Step 5: Solve for x
    x = 13,915,167.22/3,814.16
  6. Step 6: Final answer
    x = 3,648.29

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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.