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Finding the Fourth Proportional to 9,120.38, 13,677.38 and 2,544.80

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Solution

The fourth proportional to 9,120.38, 13,677.38 and 2,544.80 is: 3,816.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,120.38 : 13,677.38 = 2,544.80 : x
  2. Step 2: Convert to fraction form
    9,120.38/13,677.38 = 2,544.80/x
  3. Step 3: Cross multiply
    9,120.38x = 13,677.38 × 2,544.80
  4. Step 4: Simplify right side
    9,120.38x = 34,806,115.51
  5. Step 5: Solve for x
    x = 34,806,115.51/9,120.38
  6. Step 6: Final answer
    x = 3,816.30

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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.