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Finding the Fourth Proportional to 5,003.14, 7,505.50 and 1,540.38

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Solution

The fourth proportional to 5,003.14, 7,505.50 and 1,540.38 is: 2,310.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,003.14 : 7,505.50 = 1,540.38 : x
  2. Step 2: Convert to fraction form
    5,003.14/7,505.50 = 1,540.38/x
  3. Step 3: Cross multiply
    5,003.14x = 7,505.50 × 1,540.38
  4. Step 4: Simplify right side
    5,003.14x = 11,561,322.09
  5. Step 5: Solve for x
    x = 11,561,322.09/5,003.14
  6. Step 6: Final answer
    x = 2,310.81

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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.