Home / 3,153.60-4,733.92-2,000

Finding the Fourth Proportional to 3,153.60, 4,733.92 and 2,000

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Solution

The fourth proportional to 3,153.60, 4,733.92 and 2,000 is: 3,002.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.60 : 4,733.92 = 2,000 : x
  2. Step 2: Convert to fraction form
    3,153.60/4,733.92 = 2,000/x
  3. Step 3: Cross multiply
    3,153.60x = 4,733.92 × 2,000
  4. Step 4: Simplify right side
    3,153.60x = 9,467,840
  5. Step 5: Solve for x
    x = 9,467,840/3,153.60
  6. Step 6: Final answer
    x = 3,002.23

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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.