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Finding the Fourth Proportional to 2,531.78, 3,797.60 and 2,379.60

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Solution

The fourth proportional to 2,531.78, 3,797.60 and 2,379.60 is: 3,569.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,531.78 : 3,797.60 = 2,379.60 : x
  2. Step 2: Convert to fraction form
    2,531.78/3,797.60 = 2,379.60/x
  3. Step 3: Cross multiply
    2,531.78x = 3,797.60 × 2,379.60
  4. Step 4: Simplify right side
    2,531.78x = 9,036,757.06
  5. Step 5: Solve for x
    x = 9,036,757.06/2,531.78
  6. Step 6: Final answer
    x = 3,569.33

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1.5x scale

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.