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Finding the Fourth Proportional to 9,134.68, 13,698.78 and 3,289.72

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Solution

The fourth proportional to 9,134.68, 13,698.78 and 3,289.72 is: 4,933.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.68 : 13,698.78 = 3,289.72 : x
  2. Step 2: Convert to fraction form
    9,134.68/13,698.78 = 3,289.72/x
  3. Step 3: Cross multiply
    9,134.68x = 13,698.78 × 3,289.72
  4. Step 4: Simplify right side
    9,134.68x = 45,065,150.54
  5. Step 5: Solve for x
    x = 45,065,150.54/9,134.68
  6. Step 6: Final answer
    x = 4,933.41

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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.