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Finding the Fourth Proportional to 3,957.70, 5,461.74 and 2,189.44

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Solution

The fourth proportional to 3,957.70, 5,461.74 and 2,189.44 is: 3,021.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.70 : 5,461.74 = 2,189.44 : x
  2. Step 2: Convert to fraction form
    3,957.70/5,461.74 = 2,189.44/x
  3. Step 3: Cross multiply
    3,957.70x = 5,461.74 × 2,189.44
  4. Step 4: Simplify right side
    3,957.70x = 11,958,152.03
  5. Step 5: Solve for x
    x = 11,958,152.03/3,957.70
  6. Step 6: Final answer
    x = 3,021.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.