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Finding the Fourth Proportional to 16,815, 25,222.54 and 5,128.36

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Solution

The fourth proportional to 16,815, 25,222.54 and 5,128.36 is: 7,692.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,815 : 25,222.54 = 5,128.36 : x
  2. Step 2: Convert to fraction form
    16,815/25,222.54 = 5,128.36/x
  3. Step 3: Cross multiply
    16,815x = 25,222.54 × 5,128.36
  4. Step 4: Simplify right side
    16,815x = 129,350,265.23
  5. Step 5: Solve for x
    x = 129,350,265.23/16,815
  6. Step 6: Final answer
    x = 7,692.55

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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.