Home / 3,884.16-5,823.20-2,424

Finding the Fourth Proportional to 3,884.16, 5,823.20 and 2,424

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Solution

The fourth proportional to 3,884.16, 5,823.20 and 2,424 is: 3,634.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.16 : 5,823.20 = 2,424 : x
  2. Step 2: Convert to fraction form
    3,884.16/5,823.20 = 2,424/x
  3. Step 3: Cross multiply
    3,884.16x = 5,823.20 × 2,424
  4. Step 4: Simplify right side
    3,884.16x = 14,115,436.80
  5. Step 5: Solve for x
    x = 14,115,436.80/3,884.16
  6. Step 6: Final answer
    x = 3,634.10

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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.