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Finding the Fourth Proportional to 5,145, 7,716.33 and 1,447.59

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Solution

The fourth proportional to 5,145, 7,716.33 and 1,447.59 is: 2,171.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145 : 7,716.33 = 1,447.59 : x
  2. Step 2: Convert to fraction form
    5,145/7,716.33 = 1,447.59/x
  3. Step 3: Cross multiply
    5,145x = 7,716.33 × 1,447.59
  4. Step 4: Simplify right side
    5,145x = 11,170,082.14
  5. Step 5: Solve for x
    x = 11,170,082.14/5,145
  6. Step 6: Final answer
    x = 2,171.06

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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.