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Finding the Fourth Proportional to 2,539.48, 3,809.18 and 1,850.52

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Solution

The fourth proportional to 2,539.48, 3,809.18 and 1,850.52 is: 2,775.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,539.48 : 3,809.18 = 1,850.52 : x
  2. Step 2: Convert to fraction form
    2,539.48/3,809.18 = 1,850.52/x
  3. Step 3: Cross multiply
    2,539.48x = 3,809.18 × 1,850.52
  4. Step 4: Simplify right side
    2,539.48x = 7,048,963.77
  5. Step 5: Solve for x
    x = 7,048,963.77/2,539.48
  6. Step 6: Final answer
    x = 2,775.75

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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.