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Finding the Fourth Proportional to 2,610.44, 3,915.81 and 855.62

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Solution

The fourth proportional to 2,610.44, 3,915.81 and 855.62 is: 1,283.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610.44 : 3,915.81 = 855.62 : x
  2. Step 2: Convert to fraction form
    2,610.44/3,915.81 = 855.62/x
  3. Step 3: Cross multiply
    2,610.44x = 3,915.81 × 855.62
  4. Step 4: Simplify right side
    2,610.44x = 3,350,441.07
  5. Step 5: Solve for x
    x = 3,350,441.07/2,610.44
  6. Step 6: Final answer
    x = 1,283.48

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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.