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Finding the Fourth Proportional to 11,568, 17,348.40 and 4,171.50

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Solution

The fourth proportional to 11,568, 17,348.40 and 4,171.50 is: 6,255.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,568 : 17,348.40 = 4,171.50 : x
  2. Step 2: Convert to fraction form
    11,568/17,348.40 = 4,171.50/x
  3. Step 3: Cross multiply
    11,568x = 17,348.40 × 4,171.50
  4. Step 4: Simplify right side
    11,568x = 72,368,850.60
  5. Step 5: Solve for x
    x = 72,368,850.60/11,568
  6. Step 6: Final answer
    x = 6,255.95

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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.