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Finding the Fourth Proportional to 5,129.34, 7,693.96 and 1,431.56

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Solution

The fourth proportional to 5,129.34, 7,693.96 and 1,431.56 is: 2,147.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.34 : 7,693.96 = 1,431.56 : x
  2. Step 2: Convert to fraction form
    5,129.34/7,693.96 = 1,431.56/x
  3. Step 3: Cross multiply
    5,129.34x = 7,693.96 × 1,431.56
  4. Step 4: Simplify right side
    5,129.34x = 11,014,365.38
  5. Step 5: Solve for x
    x = 11,014,365.38/5,129.34
  6. Step 6: Final answer
    x = 2,147.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.