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Finding the Fourth Proportional to 2,759.40, 3,807.60 and 1,639.93

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Solution

The fourth proportional to 2,759.40, 3,807.60 and 1,639.93 is: 2,262.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.40 : 3,807.60 = 1,639.93 : x
  2. Step 2: Convert to fraction form
    2,759.40/3,807.60 = 1,639.93/x
  3. Step 3: Cross multiply
    2,759.40x = 3,807.60 × 1,639.93
  4. Step 4: Simplify right side
    2,759.40x = 6,244,197.47
  5. Step 5: Solve for x
    x = 6,244,197.47/2,759.40
  6. Step 6: Final answer
    x = 2,262.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.