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Finding the Fourth Proportional to 49,780.72, 68,694.60 and 28,558

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Solution

The fourth proportional to 49,780.72, 68,694.60 and 28,558 is: 39,408.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,780.72 : 68,694.60 = 28,558 : x
  2. Step 2: Convert to fraction form
    49,780.72/68,694.60 = 28,558/x
  3. Step 3: Cross multiply
    49,780.72x = 68,694.60 × 28,558
  4. Step 4: Simplify right side
    49,780.72x = 1,961,780,386.80
  5. Step 5: Solve for x
    x = 1,961,780,386.80/49,780.72
  6. Step 6: Final answer
    x = 39,408.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.