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Finding the Fourth Proportional to 12,682.50, 19,023.81 and 4,474.50

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Solution

The fourth proportional to 12,682.50, 19,023.81 and 4,474.50 is: 6,711.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682.50 : 19,023.81 = 4,474.50 : x
  2. Step 2: Convert to fraction form
    12,682.50/19,023.81 = 4,474.50/x
  3. Step 3: Cross multiply
    12,682.50x = 19,023.81 × 4,474.50
  4. Step 4: Simplify right side
    12,682.50x = 85,122,037.85
  5. Step 5: Solve for x
    x = 85,122,037.85/12,682.50
  6. Step 6: Final answer
    x = 6,711.77

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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.