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Finding the Fourth Proportional to 2,774, 4,157.76 and 1,540.82

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Solution

The fourth proportional to 2,774, 4,157.76 and 1,540.82 is: 2,309.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774 : 4,157.76 = 1,540.82 : x
  2. Step 2: Convert to fraction form
    2,774/4,157.76 = 1,540.82/x
  3. Step 3: Cross multiply
    2,774x = 4,157.76 × 1,540.82
  4. Step 4: Simplify right side
    2,774x = 6,406,359.76
  5. Step 5: Solve for x
    x = 6,406,359.76/2,774
  6. Step 6: Final answer
    x = 2,309.43

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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.