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Finding the Fourth Proportional to 3,947.84, 5,914.08 and 2,120

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Solution

The fourth proportional to 3,947.84, 5,914.08 and 2,120 is: 3,175.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.84 : 5,914.08 = 2,120 : x
  2. Step 2: Convert to fraction form
    3,947.84/5,914.08 = 2,120/x
  3. Step 3: Cross multiply
    3,947.84x = 5,914.08 × 2,120
  4. Step 4: Simplify right side
    3,947.84x = 12,537,849.60
  5. Step 5: Solve for x
    x = 12,537,849.60/3,947.84
  6. Step 6: Final answer
    x = 3,175.88

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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.