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Finding the Fourth Proportional to 12,170, 18,241.66 and 4,773.08

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Solution

The fourth proportional to 12,170, 18,241.66 and 4,773.08 is: 7,154.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170 : 18,241.66 = 4,773.08 : x
  2. Step 2: Convert to fraction form
    12,170/18,241.66 = 4,773.08/x
  3. Step 3: Cross multiply
    12,170x = 18,241.66 × 4,773.08
  4. Step 4: Simplify right side
    12,170x = 87,068,902.51
  5. Step 5: Solve for x
    x = 87,068,902.51/12,170
  6. Step 6: Final answer
    x = 7,154.39

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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.