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Finding the Fourth Proportional to 2,758.52, 3,806.50 and 1,639.16

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Solution

The fourth proportional to 2,758.52, 3,806.50 and 1,639.16 is: 2,261.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.52 : 3,806.50 = 1,639.16 : x
  2. Step 2: Convert to fraction form
    2,758.52/3,806.50 = 1,639.16/x
  3. Step 3: Cross multiply
    2,758.52x = 3,806.50 × 1,639.16
  4. Step 4: Simplify right side
    2,758.52x = 6,239,462.54
  5. Step 5: Solve for x
    x = 6,239,462.54/2,758.52
  6. Step 6: Final answer
    x = 2,261.89

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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.