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Finding the Fourth Proportional to 8,614.33, 11,894.78 and 7,021.21

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Solution

The fourth proportional to 8,614.33, 11,894.78 and 7,021.21 is: 9,694.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,614.33 : 11,894.78 = 7,021.21 : x
  2. Step 2: Convert to fraction form
    8,614.33/11,894.78 = 7,021.21/x
  3. Step 3: Cross multiply
    8,614.33x = 11,894.78 × 7,021.21
  4. Step 4: Simplify right side
    8,614.33x = 83,515,748.28
  5. Step 5: Solve for x
    x = 83,515,748.28/8,614.33
  6. Step 6: Final answer
    x = 9,694.98

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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.