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Finding the Fourth Proportional to 11,412.81, 17,124.66 and 5,174.73

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Solution

The fourth proportional to 11,412.81, 17,124.66 and 5,174.73 is: 7,764.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,412.81 : 17,124.66 = 5,174.73 : x
  2. Step 2: Convert to fraction form
    11,412.81/17,124.66 = 5,174.73/x
  3. Step 3: Cross multiply
    11,412.81x = 17,124.66 × 5,174.73
  4. Step 4: Simplify right side
    11,412.81x = 88,615,491.84
  5. Step 5: Solve for x
    x = 88,615,491.84/11,412.81
  6. Step 6: Final answer
    x = 7,764.56

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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.