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Finding the Fourth Proportional to 10,945.61, 16,403.29 and 9,481.13

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Solution

The fourth proportional to 10,945.61, 16,403.29 and 9,481.13 is: 14,208.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,945.61 : 16,403.29 = 9,481.13 : x
  2. Step 2: Convert to fraction form
    10,945.61/16,403.29 = 9,481.13/x
  3. Step 3: Cross multiply
    10,945.61x = 16,403.29 × 9,481.13
  4. Step 4: Simplify right side
    10,945.61x = 155,521,724.92
  5. Step 5: Solve for x
    x = 155,521,724.92/10,945.61
  6. Step 6: Final answer
    x = 14,208.59

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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.