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Finding the Fourth Proportional to 3,989.16, 5,975.82 and 3,168.84

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Solution

The fourth proportional to 3,989.16, 5,975.82 and 3,168.84 is: 4,746.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,989.16 : 5,975.82 = 3,168.84 : x
  2. Step 2: Convert to fraction form
    3,989.16/5,975.82 = 3,168.84/x
  3. Step 3: Cross multiply
    3,989.16x = 5,975.82 × 3,168.84
  4. Step 4: Simplify right side
    3,989.16x = 18,936,417.45
  5. Step 5: Solve for x
    x = 18,936,417.45/3,989.16
  6. Step 6: Final answer
    x = 4,746.97

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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.