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Finding the Fourth Proportional to 12,188.44, 16,828.86 and 8,008.84

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Solution

The fourth proportional to 12,188.44, 16,828.86 and 8,008.84 is: 11,057.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,188.44 : 16,828.86 = 8,008.84 : x
  2. Step 2: Convert to fraction form
    12,188.44/16,828.86 = 8,008.84/x
  3. Step 3: Cross multiply
    12,188.44x = 16,828.86 × 8,008.84
  4. Step 4: Simplify right side
    12,188.44x = 134,779,647.12
  5. Step 5: Solve for x
    x = 134,779,647.12/12,188.44
  6. Step 6: Final answer
    x = 11,057.99

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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.