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Finding the Fourth Proportional to 2,059.74, 3,085.20 and 1,646.64

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Solution

The fourth proportional to 2,059.74, 3,085.20 and 1,646.64 is: 2,466.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,059.74 : 3,085.20 = 1,646.64 : x
  2. Step 2: Convert to fraction form
    2,059.74/3,085.20 = 1,646.64/x
  3. Step 3: Cross multiply
    2,059.74x = 3,085.20 × 1,646.64
  4. Step 4: Simplify right side
    2,059.74x = 5,080,213.73
  5. Step 5: Solve for x
    x = 5,080,213.73/2,059.74
  6. Step 6: Final answer
    x = 2,466.43

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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.