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Finding the Fourth Proportional to 8,222.88, 11,402.46 and 7,945.80

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Solution

The fourth proportional to 8,222.88, 11,402.46 and 7,945.80 is: 11,018.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,222.88 : 11,402.46 = 7,945.80 : x
  2. Step 2: Convert to fraction form
    8,222.88/11,402.46 = 7,945.80/x
  3. Step 3: Cross multiply
    8,222.88x = 11,402.46 × 7,945.80
  4. Step 4: Simplify right side
    8,222.88x = 90,601,666.67
  5. Step 5: Solve for x
    x = 90,601,666.67/8,222.88
  6. Step 6: Final answer
    x = 11,018.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.