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Finding the Fourth Proportional to 8,589.36, 12,897.12 and 8,166.54

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Solution

The fourth proportional to 8,589.36, 12,897.12 and 8,166.54 is: 12,262.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,589.36 : 12,897.12 = 8,166.54 : x
  2. Step 2: Convert to fraction form
    8,589.36/12,897.12 = 8,166.54/x
  3. Step 3: Cross multiply
    8,589.36x = 12,897.12 × 8,166.54
  4. Step 4: Simplify right side
    8,589.36x = 105,324,846.36
  5. Step 5: Solve for x
    x = 105,324,846.36/8,589.36
  6. Step 6: Final answer
    x = 12,262.25

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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.