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Finding the Fourth Proportional to 3,758, 5,635.66 and 1,783.36

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Solution

The fourth proportional to 3,758, 5,635.66 and 1,783.36 is: 2,674.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758 : 5,635.66 = 1,783.36 : x
  2. Step 2: Convert to fraction form
    3,758/5,635.66 = 1,783.36/x
  3. Step 3: Cross multiply
    3,758x = 5,635.66 × 1,783.36
  4. Step 4: Simplify right side
    3,758x = 10,050,410.62
  5. Step 5: Solve for x
    x = 10,050,410.62/3,758
  6. Step 6: Final answer
    x = 2,674.40

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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.