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Finding the Fourth Proportional to 10,965.80, 16,437.90 and 5,414.60

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Solution

The fourth proportional to 10,965.80, 16,437.90 and 5,414.60 is: 8,116.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,965.80 : 16,437.90 = 5,414.60 : x
  2. Step 2: Convert to fraction form
    10,965.80/16,437.90 = 5,414.60/x
  3. Step 3: Cross multiply
    10,965.80x = 16,437.90 × 5,414.60
  4. Step 4: Simplify right side
    10,965.80x = 89,004,653.34
  5. Step 5: Solve for x
    x = 89,004,653.34/10,965.80
  6. Step 6: Final answer
    x = 8,116.57

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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.