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Finding the Fourth Proportional to 11,199.52, 15,456 and 6,485.44

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Solution

The fourth proportional to 11,199.52, 15,456 and 6,485.44 is: 8,950.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,199.52 : 15,456 = 6,485.44 : x
  2. Step 2: Convert to fraction form
    11,199.52/15,456 = 6,485.44/x
  3. Step 3: Cross multiply
    11,199.52x = 15,456 × 6,485.44
  4. Step 4: Simplify right side
    11,199.52x = 100,238,960.64
  5. Step 5: Solve for x
    x = 100,238,960.64/11,199.52
  6. Step 6: Final answer
    x = 8,950.29

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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.