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Finding the Fourth Proportional to 3,957.50, 5,461.08 and 2,189

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Solution

The fourth proportional to 3,957.50, 5,461.08 and 2,189 is: 3,020.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.50 : 5,461.08 = 2,189 : x
  2. Step 2: Convert to fraction form
    3,957.50/5,461.08 = 2,189/x
  3. Step 3: Cross multiply
    3,957.50x = 5,461.08 × 2,189
  4. Step 4: Simplify right side
    3,957.50x = 11,954,304.12
  5. Step 5: Solve for x
    x = 11,954,304.12/3,957.50
  6. Step 6: Final answer
    x = 3,020.67

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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.