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Finding the Fourth Proportional to 11,928.48, 16,471.74 and 7,459.85

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Solution

The fourth proportional to 11,928.48, 16,471.74 and 7,459.85 is: 10,301.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,928.48 : 16,471.74 = 7,459.85 : x
  2. Step 2: Convert to fraction form
    11,928.48/16,471.74 = 7,459.85/x
  3. Step 3: Cross multiply
    11,928.48x = 16,471.74 × 7,459.85
  4. Step 4: Simplify right side
    11,928.48x = 122,876,627.28
  5. Step 5: Solve for x
    x = 122,876,627.28/11,928.48
  6. Step 6: Final answer
    x = 10,301.11

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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.