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Finding the Fourth Proportional to 6,530.56, 9,786.24 and 5,147.28

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Solution

The fourth proportional to 6,530.56, 9,786.24 and 5,147.28 is: 7,713.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.56 : 9,786.24 = 5,147.28 : x
  2. Step 2: Convert to fraction form
    6,530.56/9,786.24 = 5,147.28/x
  3. Step 3: Cross multiply
    6,530.56x = 9,786.24 × 5,147.28
  4. Step 4: Simplify right side
    6,530.56x = 50,372,517.43
  5. Step 5: Solve for x
    x = 50,372,517.43/6,530.56
  6. Step 6: Final answer
    x = 7,713.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.