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Finding the Fourth Proportional to 2,546.64, 3,520.89 and 1,766.52

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Solution

The fourth proportional to 2,546.64, 3,520.89 and 1,766.52 is: 2,442.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546.64 : 3,520.89 = 1,766.52 : x
  2. Step 2: Convert to fraction form
    2,546.64/3,520.89 = 1,766.52/x
  3. Step 3: Cross multiply
    2,546.64x = 3,520.89 × 1,766.52
  4. Step 4: Simplify right side
    2,546.64x = 6,219,722.60
  5. Step 5: Solve for x
    x = 6,219,722.60/2,546.64
  6. Step 6: Final answer
    x = 2,442.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.