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Finding the Fourth Proportional to 22,165.72, 30,592.65 and 13,213.80

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Solution

The fourth proportional to 22,165.72, 30,592.65 and 13,213.80 is: 18,237.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,165.72 : 30,592.65 = 13,213.80 : x
  2. Step 2: Convert to fraction form
    22,165.72/30,592.65 = 13,213.80/x
  3. Step 3: Cross multiply
    22,165.72x = 30,592.65 × 13,213.80
  4. Step 4: Simplify right side
    22,165.72x = 404,245,005.61
  5. Step 5: Solve for x
    x = 404,245,005.61/22,165.72
  6. Step 6: Final answer
    x = 18,237.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.