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Finding the Fourth Proportional to 3,971.43, 5,957.70 and 1,339.69

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Solution

The fourth proportional to 3,971.43, 5,957.70 and 1,339.69 is: 2,009.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.43 : 5,957.70 = 1,339.69 : x
  2. Step 2: Convert to fraction form
    3,971.43/5,957.70 = 1,339.69/x
  3. Step 3: Cross multiply
    3,971.43x = 5,957.70 × 1,339.69
  4. Step 4: Simplify right side
    3,971.43x = 7,981,471.11
  5. Step 5: Solve for x
    x = 7,981,471.11/3,971.43
  6. Step 6: Final answer
    x = 2,009.72

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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.