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Finding the Fourth Proportional to 12,914.48, 19,400.88 and 11,164.88

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Solution

The fourth proportional to 12,914.48, 19,400.88 and 11,164.88 is: 16,772.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914.48 : 19,400.88 = 11,164.88 : x
  2. Step 2: Convert to fraction form
    12,914.48/19,400.88 = 11,164.88/x
  3. Step 3: Cross multiply
    12,914.48x = 19,400.88 × 11,164.88
  4. Step 4: Simplify right side
    12,914.48x = 216,608,497.09
  5. Step 5: Solve for x
    x = 216,608,497.09/12,914.48
  6. Step 6: Final answer
    x = 16,772.53

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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.