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Finding the Fourth Proportional to 28,122.36, 42,189 and 8,400.48

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Solution

The fourth proportional to 28,122.36, 42,189 and 8,400.48 is: 12,602.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,122.36 : 42,189 = 8,400.48 : x
  2. Step 2: Convert to fraction form
    28,122.36/42,189 = 8,400.48/x
  3. Step 3: Cross multiply
    28,122.36x = 42,189 × 8,400.48
  4. Step 4: Simplify right side
    28,122.36x = 354,407,850.72
  5. Step 5: Solve for x
    x = 354,407,850.72/28,122.36
  6. Step 6: Final answer
    x = 12,602.35

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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.