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Finding the Fourth Proportional to 28,199.78, 42,299.62 and 11,559.82

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Solution

The fourth proportional to 28,199.78, 42,299.62 and 11,559.82 is: 17,339.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,199.78 : 42,299.62 = 11,559.82 : x
  2. Step 2: Convert to fraction form
    28,199.78/42,299.62 = 11,559.82/x
  3. Step 3: Cross multiply
    28,199.78x = 42,299.62 × 11,559.82
  4. Step 4: Simplify right side
    28,199.78x = 488,975,993.27
  5. Step 5: Solve for x
    x = 488,975,993.27/28,199.78
  6. Step 6: Final answer
    x = 17,339.71

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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.