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Finding the Fourth Proportional to 3,842.78, 5,759.36 and 1,648.96

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Solution

The fourth proportional to 3,842.78, 5,759.36 and 1,648.96 is: 2,471.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.78 : 5,759.36 = 1,648.96 : x
  2. Step 2: Convert to fraction form
    3,842.78/5,759.36 = 1,648.96/x
  3. Step 3: Cross multiply
    3,842.78x = 5,759.36 × 1,648.96
  4. Step 4: Simplify right side
    3,842.78x = 9,496,954.27
  5. Step 5: Solve for x
    x = 9,496,954.27/3,842.78
  6. Step 6: Final answer
    x = 2,471.38

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1.5x scale

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.