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Finding the Fourth Proportional to 2,770, 3,822.64 and 1,591.28

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Solution

The fourth proportional to 2,770, 3,822.64 and 1,591.28 is: 2,195.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,770 : 3,822.64 = 1,591.28 : x
  2. Step 2: Convert to fraction form
    2,770/3,822.64 = 1,591.28/x
  3. Step 3: Cross multiply
    2,770x = 3,822.64 × 1,591.28
  4. Step 4: Simplify right side
    2,770x = 6,082,890.58
  5. Step 5: Solve for x
    x = 6,082,890.58/2,770
  6. Step 6: Final answer
    x = 2,195.99

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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.