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Finding the Fourth Proportional to 11,758, 17,639.58 and 3,438.72

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Solution

The fourth proportional to 11,758, 17,639.58 and 3,438.72 is: 5,158.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758 : 17,639.58 = 3,438.72 : x
  2. Step 2: Convert to fraction form
    11,758/17,639.58 = 3,438.72/x
  3. Step 3: Cross multiply
    11,758x = 17,639.58 × 3,438.72
  4. Step 4: Simplify right side
    11,758x = 60,657,576.54
  5. Step 5: Solve for x
    x = 60,657,576.54/11,758
  6. Step 6: Final answer
    x = 5,158.83

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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.