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Finding the Fourth Proportional to 11,163.14, 15,405 and 6,447.32

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Solution

The fourth proportional to 11,163.14, 15,405 and 6,447.32 is: 8,897.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,163.14 : 15,405 = 6,447.32 : x
  2. Step 2: Convert to fraction form
    11,163.14/15,405 = 6,447.32/x
  3. Step 3: Cross multiply
    11,163.14x = 15,405 × 6,447.32
  4. Step 4: Simplify right side
    11,163.14x = 99,320,964.60
  5. Step 5: Solve for x
    x = 99,320,964.60/11,163.14
  6. Step 6: Final answer
    x = 8,897.22

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1.5x scale

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.