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Finding the Fourth Proportional to 9,361.48, 12,917.46 and 5,382.76

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Solution

The fourth proportional to 9,361.48, 12,917.46 and 5,382.76 is: 7,427.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,361.48 : 12,917.46 = 5,382.76 : x
  2. Step 2: Convert to fraction form
    9,361.48/12,917.46 = 5,382.76/x
  3. Step 3: Cross multiply
    9,361.48x = 12,917.46 × 5,382.76
  4. Step 4: Simplify right side
    9,361.48x = 69,531,586.99
  5. Step 5: Solve for x
    x = 69,531,586.99/9,361.48
  6. Step 6: Final answer
    x = 7,427.41

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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.