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Finding the Fourth Proportional to 8,286.00, 11,412.50 and 7,166.98

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Solution

The fourth proportional to 8,286.00, 11,412.50 and 7,166.98 is: 9,871.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.00 : 11,412.50 = 7,166.98 : x
  2. Step 2: Convert to fraction form
    8,286.00/11,412.50 = 7,166.98/x
  3. Step 3: Cross multiply
    8,286.00x = 11,412.50 × 7,166.98
  4. Step 4: Simplify right side
    8,286.00x = 81,793,137.68
  5. Step 5: Solve for x
    x = 81,793,137.68/8,286.00
  6. Step 6: Final answer
    x = 9,871.25

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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.