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Finding the Fourth Proportional to 5,310.09, 7,965.12 and 1,414.50

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Solution

The fourth proportional to 5,310.09, 7,965.12 and 1,414.50 is: 2,121.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.09 : 7,965.12 = 1,414.50 : x
  2. Step 2: Convert to fraction form
    5,310.09/7,965.12 = 1,414.50/x
  3. Step 3: Cross multiply
    5,310.09x = 7,965.12 × 1,414.50
  4. Step 4: Simplify right side
    5,310.09x = 11,266,662.24
  5. Step 5: Solve for x
    x = 11,266,662.24/5,310.09
  6. Step 6: Final answer
    x = 2,121.75

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Similar ratio
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1.5x scale

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.