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Finding the Fourth Proportional to 49,638, 68,498.90 and 28,415.85

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Solution

The fourth proportional to 49,638, 68,498.90 and 28,415.85 is: 39,212.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,638 : 68,498.90 = 28,415.85 : x
  2. Step 2: Convert to fraction form
    49,638/68,498.90 = 28,415.85/x
  3. Step 3: Cross multiply
    49,638x = 68,498.90 × 28,415.85
  4. Step 4: Simplify right side
    49,638x = 1,946,454,325.49
  5. Step 5: Solve for x
    x = 1,946,454,325.49/49,638
  6. Step 6: Final answer
    x = 39,212.99

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1.5x scale

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.