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Finding the Fourth Proportional to 2,537.85, 3,807.18 and 782.44

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Solution

The fourth proportional to 2,537.85, 3,807.18 and 782.44 is: 1,173.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.85 : 3,807.18 = 782.44 : x
  2. Step 2: Convert to fraction form
    2,537.85/3,807.18 = 782.44/x
  3. Step 3: Cross multiply
    2,537.85x = 3,807.18 × 782.44
  4. Step 4: Simplify right side
    2,537.85x = 2,978,887.54
  5. Step 5: Solve for x
    x = 2,978,887.54/2,537.85
  6. Step 6: Final answer
    x = 1,173.79

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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.