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Finding the Fourth Proportional to 3,840.65, 5,759.54 and 1,648.25

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Solution

The fourth proportional to 3,840.65, 5,759.54 and 1,648.25 is: 2,471.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.65 : 5,759.54 = 1,648.25 : x
  2. Step 2: Convert to fraction form
    3,840.65/5,759.54 = 1,648.25/x
  3. Step 3: Cross multiply
    3,840.65x = 5,759.54 × 1,648.25
  4. Step 4: Simplify right side
    3,840.65x = 9,493,153.56
  5. Step 5: Solve for x
    x = 9,493,153.56/3,840.65
  6. Step 6: Final answer
    x = 2,471.76

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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.