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Finding the Fourth Proportional to 3,840.44, 5,759.58 and 1,648.64

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Solution

The fourth proportional to 3,840.44, 5,759.58 and 1,648.64 is: 2,472.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.44 : 5,759.58 = 1,648.64 : x
  2. Step 2: Convert to fraction form
    3,840.44/5,759.58 = 1,648.64/x
  3. Step 3: Cross multiply
    3,840.44x = 5,759.58 × 1,648.64
  4. Step 4: Simplify right side
    3,840.44x = 9,495,473.97
  5. Step 5: Solve for x
    x = 9,495,473.97/3,840.44
  6. Step 6: Final answer
    x = 2,472.50

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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.