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Finding the Fourth Proportional to 11,907.54, 17,832.14 and 8,388.90

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Solution

The fourth proportional to 11,907.54, 17,832.14 and 8,388.90 is: 12,562.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907.54 : 17,832.14 = 8,388.90 : x
  2. Step 2: Convert to fraction form
    11,907.54/17,832.14 = 8,388.90/x
  3. Step 3: Cross multiply
    11,907.54x = 17,832.14 × 8,388.90
  4. Step 4: Simplify right side
    11,907.54x = 149,592,039.25
  5. Step 5: Solve for x
    x = 149,592,039.25/11,907.54
  6. Step 6: Final answer
    x = 12,562.80

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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.