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Finding the Fourth Proportional to 12,196.96, 18,317.04 and 11,220.96

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Solution

The fourth proportional to 12,196.96, 18,317.04 and 11,220.96 is: 16,851.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,196.96 : 18,317.04 = 11,220.96 : x
  2. Step 2: Convert to fraction form
    12,196.96/18,317.04 = 11,220.96/x
  3. Step 3: Cross multiply
    12,196.96x = 18,317.04 × 11,220.96
  4. Step 4: Simplify right side
    12,196.96x = 205,534,773.16
  5. Step 5: Solve for x
    x = 205,534,773.16/12,196.96
  6. Step 6: Final answer
    x = 16,851.31

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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.