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Finding the Fourth Proportional to 2,586.64, 3,880.48 and 855.26

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Solution

The fourth proportional to 2,586.64, 3,880.48 and 855.26 is: 1,283.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,586.64 : 3,880.48 = 855.26 : x
  2. Step 2: Convert to fraction form
    2,586.64/3,880.48 = 855.26/x
  3. Step 3: Cross multiply
    2,586.64x = 3,880.48 × 855.26
  4. Step 4: Simplify right side
    2,586.64x = 3,318,819.32
  5. Step 5: Solve for x
    x = 3,318,819.32/2,586.64
  6. Step 6: Final answer
    x = 1,283.06

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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.