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Finding the Fourth Proportional to 22,912.74, 31,638.42 and 14,428.53

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Solution

The fourth proportional to 22,912.74, 31,638.42 and 14,428.53 is: 19,923.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,912.74 : 31,638.42 = 14,428.53 : x
  2. Step 2: Convert to fraction form
    22,912.74/31,638.42 = 14,428.53/x
  3. Step 3: Cross multiply
    22,912.74x = 31,638.42 × 14,428.53
  4. Step 4: Simplify right side
    22,912.74x = 456,495,892.12
  5. Step 5: Solve for x
    x = 456,495,892.12/22,912.74
  6. Step 6: Final answer
    x = 19,923.23

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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.