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Finding the Fourth Proportional to 9,331.76, 13,998.24 and 2,758.16

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Solution

The fourth proportional to 9,331.76, 13,998.24 and 2,758.16 is: 4,137.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,331.76 : 13,998.24 = 2,758.16 : x
  2. Step 2: Convert to fraction form
    9,331.76/13,998.24 = 2,758.16/x
  3. Step 3: Cross multiply
    9,331.76x = 13,998.24 × 2,758.16
  4. Step 4: Simplify right side
    9,331.76x = 38,609,385.64
  5. Step 5: Solve for x
    x = 38,609,385.64/9,331.76
  6. Step 6: Final answer
    x = 4,137.42

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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.