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Finding the Fourth Proportional to 28,999, 43,505.79 and 8,222.50

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Solution

The fourth proportional to 28,999, 43,505.79 and 8,222.50 is: 12,335.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,999 : 43,505.79 = 8,222.50 : x
  2. Step 2: Convert to fraction form
    28,999/43,505.79 = 8,222.50/x
  3. Step 3: Cross multiply
    28,999x = 43,505.79 × 8,222.50
  4. Step 4: Simplify right side
    28,999x = 357,726,358.28
  5. Step 5: Solve for x
    x = 357,726,358.28/28,999
  6. Step 6: Final answer
    x = 12,335.82

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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.