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Finding the Fourth Proportional to 3,968.71, 5,953.03 and 1,371.61

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Solution

The fourth proportional to 3,968.71, 5,953.03 and 1,371.61 is: 2,057.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.71 : 5,953.03 = 1,371.61 : x
  2. Step 2: Convert to fraction form
    3,968.71/5,953.03 = 1,371.61/x
  3. Step 3: Cross multiply
    3,968.71x = 5,953.03 × 1,371.61
  4. Step 4: Simplify right side
    3,968.71x = 8,165,235.48
  5. Step 5: Solve for x
    x = 8,165,235.48/3,968.71
  6. Step 6: Final answer
    x = 2,057.40

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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.