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Finding the Fourth Proportional to 3,981.96, 5,975.64 and 1,384.90

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Solution

The fourth proportional to 3,981.96, 5,975.64 and 1,384.90 is: 2,078.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.96 : 5,975.64 = 1,384.90 : x
  2. Step 2: Convert to fraction form
    3,981.96/5,975.64 = 1,384.90/x
  3. Step 3: Cross multiply
    3,981.96x = 5,975.64 × 1,384.90
  4. Step 4: Simplify right side
    3,981.96x = 8,275,663.84
  5. Step 5: Solve for x
    x = 8,275,663.84/3,981.96
  6. Step 6: Final answer
    x = 2,078.29

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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.