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Finding the Fourth Proportional to 11,747.14, 16,211.09 and 7,031.42

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Solution

The fourth proportional to 11,747.14, 16,211.09 and 7,031.42 is: 9,703.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,747.14 : 16,211.09 = 7,031.42 : x
  2. Step 2: Convert to fraction form
    11,747.14/16,211.09 = 7,031.42/x
  3. Step 3: Cross multiply
    11,747.14x = 16,211.09 × 7,031.42
  4. Step 4: Simplify right side
    11,747.14x = 113,986,918.97
  5. Step 5: Solve for x
    x = 113,986,918.97/11,747.14
  6. Step 6: Final answer
    x = 9,703.38

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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.