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Finding the Fourth Proportional to 2,725.76, 4,086.48 and 1,082

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Solution

The fourth proportional to 2,725.76, 4,086.48 and 1,082 is: 1,622.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,725.76 : 4,086.48 = 1,082 : x
  2. Step 2: Convert to fraction form
    2,725.76/4,086.48 = 1,082/x
  3. Step 3: Cross multiply
    2,725.76x = 4,086.48 × 1,082
  4. Step 4: Simplify right side
    2,725.76x = 4,421,571.36
  5. Step 5: Solve for x
    x = 4,421,571.36/2,725.76
  6. Step 6: Final answer
    x = 1,622.14

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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.