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Finding the Fourth Proportional to 28,231.54, 42,349.11 and 7,454.50

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Solution

The fourth proportional to 28,231.54, 42,349.11 and 7,454.50 is: 11,182.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,231.54 : 42,349.11 = 7,454.50 : x
  2. Step 2: Convert to fraction form
    28,231.54/42,349.11 = 7,454.50/x
  3. Step 3: Cross multiply
    28,231.54x = 42,349.11 × 7,454.50
  4. Step 4: Simplify right side
    28,231.54x = 315,691,440.50
  5. Step 5: Solve for x
    x = 315,691,440.50/28,231.54
  6. Step 6: Final answer
    x = 11,182.23

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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.