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Finding the Fourth Proportional to 10,940.70, 16,415.10 and 4,371.60

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Solution

The fourth proportional to 10,940.70, 16,415.10 and 4,371.60 is: 6,559.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940.70 : 16,415.10 = 4,371.60 : x
  2. Step 2: Convert to fraction form
    10,940.70/16,415.10 = 4,371.60/x
  3. Step 3: Cross multiply
    10,940.70x = 16,415.10 × 4,371.60
  4. Step 4: Simplify right side
    10,940.70x = 71,760,251.16
  5. Step 5: Solve for x
    x = 71,760,251.16/10,940.70
  6. Step 6: Final answer
    x = 6,559.02

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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.