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Finding the Fourth Proportional to 28,563.89, 42,845.38 and 7,787.39

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Solution

The fourth proportional to 28,563.89, 42,845.38 and 7,787.39 is: 11,680.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,563.89 : 42,845.38 = 7,787.39 : x
  2. Step 2: Convert to fraction form
    28,563.89/42,845.38 = 7,787.39/x
  3. Step 3: Cross multiply
    28,563.89x = 42,845.38 × 7,787.39
  4. Step 4: Simplify right side
    28,563.89x = 333,653,790.87
  5. Step 5: Solve for x
    x = 333,653,790.87/28,563.89
  6. Step 6: Final answer
    x = 11,680.96

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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.