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Finding the Fourth Proportional to 3,920.86, 5,882.64 and 1,971.46

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Solution

The fourth proportional to 3,920.86, 5,882.64 and 1,971.46 is: 2,957.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.86 : 5,882.64 = 1,971.46 : x
  2. Step 2: Convert to fraction form
    3,920.86/5,882.64 = 1,971.46/x
  3. Step 3: Cross multiply
    3,920.86x = 5,882.64 × 1,971.46
  4. Step 4: Simplify right side
    3,920.86x = 11,597,389.45
  5. Step 5: Solve for x
    x = 11,597,389.45/3,920.86
  6. Step 6: Final answer
    x = 2,957.87

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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.