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Finding the Fourth Proportional to 2,758.57, 3,808.05 and 1,639.87

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Solution

The fourth proportional to 2,758.57, 3,808.05 and 1,639.87 is: 2,263.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.57 : 3,808.05 = 1,639.87 : x
  2. Step 2: Convert to fraction form
    2,758.57/3,808.05 = 1,639.87/x
  3. Step 3: Cross multiply
    2,758.57x = 3,808.05 × 1,639.87
  4. Step 4: Simplify right side
    2,758.57x = 6,244,713.10
  5. Step 5: Solve for x
    x = 6,244,713.10/2,758.57
  6. Step 6: Final answer
    x = 2,263.75

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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.