Home / 3,143.88-4,716.68-1,582

Finding the Fourth Proportional to 3,143.88, 4,716.68 and 1,582

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Solution

The fourth proportional to 3,143.88, 4,716.68 and 1,582 is: 2,373.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.88 : 4,716.68 = 1,582 : x
  2. Step 2: Convert to fraction form
    3,143.88/4,716.68 = 1,582/x
  3. Step 3: Cross multiply
    3,143.88x = 4,716.68 × 1,582
  4. Step 4: Simplify right side
    3,143.88x = 7,461,787.76
  5. Step 5: Solve for x
    x = 7,461,787.76/3,143.88
  6. Step 6: Final answer
    x = 2,373.43

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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.