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Finding the Fourth Proportional to 10,272.96, 15,405.39 and 3,696.84

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Solution

The fourth proportional to 10,272.96, 15,405.39 and 3,696.84 is: 5,543.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,272.96 : 15,405.39 = 3,696.84 : x
  2. Step 2: Convert to fraction form
    10,272.96/15,405.39 = 3,696.84/x
  3. Step 3: Cross multiply
    10,272.96x = 15,405.39 × 3,696.84
  4. Step 4: Simplify right side
    10,272.96x = 56,951,261.97
  5. Step 5: Solve for x
    x = 56,951,261.97/10,272.96
  6. Step 6: Final answer
    x = 5,543.80

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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.