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Finding the Fourth Proportional to 11,930.44, 16,459.86 and 7,389.58

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Solution

The fourth proportional to 11,930.44, 16,459.86 and 7,389.58 is: 10,195.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,930.44 : 16,459.86 = 7,389.58 : x
  2. Step 2: Convert to fraction form
    11,930.44/16,459.86 = 7,389.58/x
  3. Step 3: Cross multiply
    11,930.44x = 16,459.86 × 7,389.58
  4. Step 4: Simplify right side
    11,930.44x = 121,631,452.26
  5. Step 5: Solve for x
    x = 121,631,452.26/11,930.44
  6. Step 6: Final answer
    x = 10,195.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.