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Finding the Fourth Proportional to 22,961.40, 34,376.40 and 14,136.90

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Solution

The fourth proportional to 22,961.40, 34,376.40 and 14,136.90 is: 21,164.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,961.40 : 34,376.40 = 14,136.90 : x
  2. Step 2: Convert to fraction form
    22,961.40/34,376.40 = 14,136.90/x
  3. Step 3: Cross multiply
    22,961.40x = 34,376.40 × 14,136.90
  4. Step 4: Simplify right side
    22,961.40x = 485,975,729.16
  5. Step 5: Solve for x
    x = 485,975,729.16/22,961.40
  6. Step 6: Final answer
    x = 21,164.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.