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Finding the Fourth Proportional to 7,148.54, 10,716.64 and 3,453.36

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Solution

The fourth proportional to 7,148.54, 10,716.64 and 3,453.36 is: 5,177.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.54 : 10,716.64 = 3,453.36 : x
  2. Step 2: Convert to fraction form
    7,148.54/10,716.64 = 3,453.36/x
  3. Step 3: Cross multiply
    7,148.54x = 10,716.64 × 3,453.36
  4. Step 4: Simplify right side
    7,148.54x = 37,008,415.91
  5. Step 5: Solve for x
    x = 37,008,415.91/7,148.54
  6. Step 6: Final answer
    x = 5,177.06

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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.