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Finding the Fourth Proportional to 7,309.52, 10,965.36 and 2,115.44

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Solution

The fourth proportional to 7,309.52, 10,965.36 and 2,115.44 is: 3,173.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.52 : 10,965.36 = 2,115.44 : x
  2. Step 2: Convert to fraction form
    7,309.52/10,965.36 = 2,115.44/x
  3. Step 3: Cross multiply
    7,309.52x = 10,965.36 × 2,115.44
  4. Step 4: Simplify right side
    7,309.52x = 23,196,561.16
  5. Step 5: Solve for x
    x = 23,196,561.16/7,309.52
  6. Step 6: Final answer
    x = 3,173.47

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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.