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Finding the Fourth Proportional to 16,812.54, 23,193.72 and 11,428.38

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Solution

The fourth proportional to 16,812.54, 23,193.72 and 11,428.38 is: 15,766.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,812.54 : 23,193.72 = 11,428.38 : x
  2. Step 2: Convert to fraction form
    16,812.54/23,193.72 = 11,428.38/x
  3. Step 3: Cross multiply
    16,812.54x = 23,193.72 × 11,428.38
  4. Step 4: Simplify right side
    16,812.54x = 265,066,645.77
  5. Step 5: Solve for x
    x = 265,066,645.77/16,812.54
  6. Step 6: Final answer
    x = 15,766.01

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Why These Related Problems?

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