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Finding the Fourth Proportional to 3,840.68, 5,759.96 and 1,648.89

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Solution

The fourth proportional to 3,840.68, 5,759.96 and 1,648.89 is: 2,472.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.68 : 5,759.96 = 1,648.89 : x
  2. Step 2: Convert to fraction form
    3,840.68/5,759.96 = 1,648.89/x
  3. Step 3: Cross multiply
    3,840.68x = 5,759.96 × 1,648.89
  4. Step 4: Simplify right side
    3,840.68x = 9,497,532.20
  5. Step 5: Solve for x
    x = 9,497,532.20/3,840.68
  6. Step 6: Final answer
    x = 2,472.88

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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.