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Finding the Fourth Proportional to 3,142.84, 4,717.68 and 1,828.03

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Solution

The fourth proportional to 3,142.84, 4,717.68 and 1,828.03 is: 2,744.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.84 : 4,717.68 = 1,828.03 : x
  2. Step 2: Convert to fraction form
    3,142.84/4,717.68 = 1,828.03/x
  3. Step 3: Cross multiply
    3,142.84x = 4,717.68 × 1,828.03
  4. Step 4: Simplify right side
    3,142.84x = 8,624,060.57
  5. Step 5: Solve for x
    x = 8,624,060.57/3,142.84
  6. Step 6: Final answer
    x = 2,744.03

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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.