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Finding the Fourth Proportional to 2,757.14, 4,135.22 and 782.90

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Solution

The fourth proportional to 2,757.14, 4,135.22 and 782.90 is: 1,174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.14 : 4,135.22 = 782.90 : x
  2. Step 2: Convert to fraction form
    2,757.14/4,135.22 = 782.90/x
  3. Step 3: Cross multiply
    2,757.14x = 4,135.22 × 782.90
  4. Step 4: Simplify right side
    2,757.14x = 3,237,463.74
  5. Step 5: Solve for x
    x = 3,237,463.74/2,757.14
  6. Step 6: Final answer
    x = 1,174.21

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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.