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Finding the Fourth Proportional to 49,793.50, 74,690.40 and 12,857.50

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Solution

The fourth proportional to 49,793.50, 74,690.40 and 12,857.50 is: 19,286.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,793.50 : 74,690.40 = 12,857.50 : x
  2. Step 2: Convert to fraction form
    49,793.50/74,690.40 = 12,857.50/x
  3. Step 3: Cross multiply
    49,793.50x = 74,690.40 × 12,857.50
  4. Step 4: Simplify right side
    49,793.50x = 960,331,818.00
  5. Step 5: Solve for x
    x = 960,331,818.00/49,793.50
  6. Step 6: Final answer
    x = 19,286.29

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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.