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Finding the Fourth Proportional to 8,884.36, 12,261.22 and 5,347

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Solution

The fourth proportional to 8,884.36, 12,261.22 and 5,347 is: 7,379.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,884.36 : 12,261.22 = 5,347 : x
  2. Step 2: Convert to fraction form
    8,884.36/12,261.22 = 5,347/x
  3. Step 3: Cross multiply
    8,884.36x = 12,261.22 × 5,347
  4. Step 4: Simplify right side
    8,884.36x = 65,560,743.34
  5. Step 5: Solve for x
    x = 65,560,743.34/8,884.36
  6. Step 6: Final answer
    x = 7,379.34

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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.