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Finding the Fourth Proportional to 50,651.87, 75,977.82 and 13,211.89

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Solution

The fourth proportional to 50,651.87, 75,977.82 and 13,211.89 is: 19,817.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,651.87 : 75,977.82 = 13,211.89 : x
  2. Step 2: Convert to fraction form
    50,651.87/75,977.82 = 13,211.89/x
  3. Step 3: Cross multiply
    50,651.87x = 75,977.82 × 13,211.89
  4. Step 4: Simplify right side
    50,651.87x = 1,003,810,410.34
  5. Step 5: Solve for x
    x = 1,003,810,410.34/50,651.87
  6. Step 6: Final answer
    x = 19,817.84

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1.5x scale

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.