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Finding the Fourth Proportional to 8,065.98, 11,105.64 and 7,327.80

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Solution

The fourth proportional to 8,065.98, 11,105.64 and 7,327.80 is: 10,089.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,065.98 : 11,105.64 = 7,327.80 : x
  2. Step 2: Convert to fraction form
    8,065.98/11,105.64 = 7,327.80/x
  3. Step 3: Cross multiply
    8,065.98x = 11,105.64 × 7,327.80
  4. Step 4: Simplify right side
    8,065.98x = 81,379,908.79
  5. Step 5: Solve for x
    x = 81,379,908.79/8,065.98
  6. Step 6: Final answer
    x = 10,089.28

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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.