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Finding the Fourth Proportional to 8,922, 12,259.09 and 8,346.09

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Solution

The fourth proportional to 8,922, 12,259.09 and 8,346.09 is: 11,467.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,922 : 12,259.09 = 8,346.09 : x
  2. Step 2: Convert to fraction form
    8,922/12,259.09 = 8,346.09/x
  3. Step 3: Cross multiply
    8,922x = 12,259.09 × 8,346.09
  4. Step 4: Simplify right side
    8,922x = 102,315,468.46
  5. Step 5: Solve for x
    x = 102,315,468.46/8,922
  6. Step 6: Final answer
    x = 11,467.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.