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Finding the Fourth Proportional to 28,152, 42,228 and 10,617.73

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Solution

The fourth proportional to 28,152, 42,228 and 10,617.73 is: 15,926.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,152 : 42,228 = 10,617.73 : x
  2. Step 2: Convert to fraction form
    28,152/42,228 = 10,617.73/x
  3. Step 3: Cross multiply
    28,152x = 42,228 × 10,617.73
  4. Step 4: Simplify right side
    28,152x = 448,365,396.87
  5. Step 5: Solve for x
    x = 448,365,396.87/28,152
  6. Step 6: Final answer
    x = 15,926.59

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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.