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Finding the Fourth Proportional to 11,436.33, 15,773.43 and 9,845.61

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Solution

The fourth proportional to 11,436.33, 15,773.43 and 9,845.61 is: 13,579.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,436.33 : 15,773.43 = 9,845.61 : x
  2. Step 2: Convert to fraction form
    11,436.33/15,773.43 = 9,845.61/x
  3. Step 3: Cross multiply
    11,436.33x = 15,773.43 × 9,845.61
  4. Step 4: Simplify right side
    11,436.33x = 155,299,040.14
  5. Step 5: Solve for x
    x = 155,299,040.14/11,436.33
  6. Step 6: Final answer
    x = 13,579.45

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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.