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Finding the Fourth Proportional to 3,143.91, 4,708.63 and 1,824.38

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Solution

The fourth proportional to 3,143.91, 4,708.63 and 1,824.38 is: 2,732.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.91 : 4,708.63 = 1,824.38 : x
  2. Step 2: Convert to fraction form
    3,143.91/4,708.63 = 1,824.38/x
  3. Step 3: Cross multiply
    3,143.91x = 4,708.63 × 1,824.38
  4. Step 4: Simplify right side
    3,143.91x = 8,590,330.40
  5. Step 5: Solve for x
    x = 8,590,330.40/3,143.91
  6. Step 6: Final answer
    x = 2,732.37

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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.