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Finding the Fourth Proportional to 9,480.44, 13,080.78 and 5,753.72

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Solution

The fourth proportional to 9,480.44, 13,080.78 and 5,753.72 is: 7,938.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.44 : 13,080.78 = 5,753.72 : x
  2. Step 2: Convert to fraction form
    9,480.44/13,080.78 = 5,753.72/x
  3. Step 3: Cross multiply
    9,480.44x = 13,080.78 × 5,753.72
  4. Step 4: Simplify right side
    9,480.44x = 75,263,145.50
  5. Step 5: Solve for x
    x = 75,263,145.50/9,480.44
  6. Step 6: Final answer
    x = 7,938.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.