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Finding the Fourth Proportional to 13,674.72, 18,869.44 and 8,005.26

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Solution

The fourth proportional to 13,674.72, 18,869.44 and 8,005.26 is: 11,046.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.72 : 18,869.44 = 8,005.26 : x
  2. Step 2: Convert to fraction form
    13,674.72/18,869.44 = 8,005.26/x
  3. Step 3: Cross multiply
    13,674.72x = 18,869.44 × 8,005.26
  4. Step 4: Simplify right side
    13,674.72x = 151,054,773.25
  5. Step 5: Solve for x
    x = 151,054,773.25/13,674.72
  6. Step 6: Final answer
    x = 11,046.28

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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.