Home / 4,214-5,816.68-2,446

Finding the Fourth Proportional to 4,214, 5,816.68 and 2,446

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Solution

The fourth proportional to 4,214, 5,816.68 and 2,446 is: 3,376.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214 : 5,816.68 = 2,446 : x
  2. Step 2: Convert to fraction form
    4,214/5,816.68 = 2,446/x
  3. Step 3: Cross multiply
    4,214x = 5,816.68 × 2,446
  4. Step 4: Simplify right side
    4,214x = 14,227,599.28
  5. Step 5: Solve for x
    x = 14,227,599.28/4,214
  6. Step 6: Final answer
    x = 3,376.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.