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Finding the Fourth Proportional to 8,231.98, 12,318.81 and 7,259.98

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Solution

The fourth proportional to 8,231.98, 12,318.81 and 7,259.98 is: 10,864.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.98 : 12,318.81 = 7,259.98 : x
  2. Step 2: Convert to fraction form
    8,231.98/12,318.81 = 7,259.98/x
  3. Step 3: Cross multiply
    8,231.98x = 12,318.81 × 7,259.98
  4. Step 4: Simplify right side
    8,231.98x = 89,434,314.22
  5. Step 5: Solve for x
    x = 89,434,314.22/8,231.98
  6. Step 6: Final answer
    x = 10,864.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.